CUuopk8kRzID5diutc7ybzIBtdlszqGcMjNeNCkvr1setErAbS2o1u23Lyso
Biography

Jiang Xiaoyun, a second-class professor in the school of mathematics of Shandong University, a distinguished professor of Shandong University, the leader of the national "Ten Thousand Talents Program" (a famous teacher), a National Model of Women, a member of the national non-Newtonian Fluid Mechanics Committee and a leader of the national key discipline "Applied Mathematics" of Shandong University. She served as co-chair of the local organization committee at the Fifth International Conference on fractional theory and applications, and served as a member of the program committee at the Sixth International Conference on fractional theory and applications. She made an invitation report at the first Sino German bilateral conference on fractional calculus. She has won one second prize of Natural Science Award of Shandong Province (first place, 2016), one second prize of National Teaching Achievement Award (first place, 2018), presided over one major research plan / cultivation project of National Natural Science Foundation of China, and presided over three general projects of National Natural Science Foundation of China. She is a leading talent (Teaching Master) evaluation expert of the "Ten Thousand Talents Program", a Yangtze River scholar of the Ministry of education and a communication evaluation expert of the National Natural Science Foundation of China. She is a reviewer of many journals in Springer, Elsevier and other databases. She is one of the earliest scholars engaged in the research of fractional calculus theory and applications, non-Newtonian fluid mechanics and other fields. She has solved many difficult problems in modeling and calculation in the process of anomalous transport, and made important contributions to the development of fractional calculus theory and applications, and provided important theoretical basis for interdisciplinary research. More than 60 SCI papers have been published by the first author or corresponding author, and more than 700 citations have been cited by SCI. Five papers have been selected as highly cited papers in ESI for three consecutive years. The relevant achievements have been published in the authoritative journals of computational mathematics and applied mathematics, SIAM Journal on Numerical Analysis, Journal of Scientific Computing, Journal of Computational Physics, Nonlinear Dynamics, Applied Mathematical Modeling, etc.


Education Background
  • 2001-09-01-2004-06-01
    Shandong University
    Applied Mathematics
    Doctor
  • 1993-09-01-1997-07-01
    Shandong University
    Operations research
    Master's Degree
  • 1982-09-01-1986-07-01
    Shandong University
    Mathematics
    Bachlor
Work Experience
  • 2005-07 — Now
    School of MathematicsShandong University
    Professor
  • 1998-07 — 2005-07
    School of MathematicsShandong University
    Associate Professor
  • 1991-07 — 1998-07
    School of MathematicsShandong University
    Lecturer
  • 1986-07 — 1991-07
    School of MathematicsShandong University
Working-Papers

Mainly engaged in fractional calculus theory and applications, non-Newtonian fluid mechanics, complex medium modeling, analytical and numerical calculation, parameter identification, modeling and calculation in anomalous transport process

Publication
Research direction
Papers

(1)贾俊青. Improved uniform error bounds of Lawson-type exponential integratormethod for long-time dynamics of the high-dimensional space fractional sine-Gordon equation .Numerical Algorithms .2024 ,97 (3)

(2)刘艺. Numerical Simulation and Parameter Estimation of theSpace-Fractional Magnetohydrodynamic Flow and Heat Transfer Coupled Model .Fractal and Fractional .2024 ,8 (10)

(3)张平蕊. Energy-preserving exponential wave integrator method and the long-time dynamics for the two-dimensional space fractional coupled Klein–Gordon–Dirac equation .MATHEMATICS AND COMPUTERS IN SIMULATION .2025 ,233 (233)

(4)石珊. A fast method and convergence analysis for the MHD flow model of generalized second-grade fluid .Computers and Mathematics with Applications .2024 ,171 (1)

(5)夏俪. Enhanced parallel computation for time-fractional fluid dynamics: A fast time-stepping method with Newton-Krylov-Schwarz solver .Communications in Nonlinear Science and Numerical Simulation .2024 ,133 (1)

(6)刘艺. Numerical simulation and fast method for the 0D-1D multi- scale coupled model and its application in ischemic brain tissue blood flow problems .INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING .2024 ,40 (6)

(7)贾俊青. Improved uniform error bounds for long-time dynamics of the high-dimensional nonlinear space fractional sine-Gordon equation with weak nonlinearity .Computers & Mathematics with Applications .2024 ,175 :62-86

(8)贾俊青. Improved Uniform Error Bounds of Exponential Wave Integrator Method for Long-Time Dynamics of the Space Fractional Klein-Gordon Equation with Weak Nonlinearity .Journal of Scientific Computing .2023 ,97 (3)

(9)迟晓庆. The fast method and convergence analysis of the fractional magnetohydrodynamic coupled flow and heat transfer model for the generalized second-grade fluid .Science China: Mathematics .2023

(10)张慧. Convergence analysis of a fast second-order time-stepping numerical method for two-dimensional nonlinear time-space fractional Schrodinger equation .Numerical Methods for Partial Differential Equations .2023 ,39 (1):657

(11)刘艺. Numerical calculation and fast method for the magnetohydrodynamic flow and heat transfer of fractional Jeffrey fluid on a two-dimensional irregular convex domain .Computers & Mathematics with Applications .2023 ,151 :473-490

(12)王淑鹏. Physics-informed neural network algorithm for solving forward and inverse problems of variable-order space-fractional advection–diffusion equations .Neurocomputing .2023 ,535 :64-82

(13)迟晓庆. Finite difference Laguerre-Legendre spectral method for the two-dimensional generalized Oldroyd-B fluid on a semi-infinite domain .Applied Mathematics and Computation .2021 ,402

(14)张慧. Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain .Journal of Computational and Applied Mathematics .2022 ,399

(15)刘艺. Fast evaluation for magnetohydrodynamic flow and heat transfer of fractional Oldroyd-B fluids between parallel plates .ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK .2020

(16) A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schr?dinger operator .Journal of Computational Physics .2020 ,421

(17)王淑鹏. Parameter estimation for unsteady MHD oscillatory free convective flow of generalized second grade fluid with Hall effects and thermal radiation effects .INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER .2024 ,219

(18)张平蕊. Improved uniform error estimates for the two-dimensional nonlinear space fractional Dirac equation with small potentials over long-time dynamics .Applied Mathematics and Computation .2024 ,466

(19)贾俊青. Improved uniform error bounds of exponential wave integrator method for long-time dynamics of the space fractional Klein-Gordon equation with weak nonlinearity .Journal of Scientific Computing .2023 (97)

(20)贾俊青. Fast evaluation for the two-dimensional nonlinear coupled time-space fractional Klein-Gordon-Zakharov equations .Applied Mathematics Letters .2021 (118)

(21)张慧. An optimal error estimate for the two-dimensional nonlinear time fractional advection-diffusion equation with smooth and non-smooth solutions .Computers and Mathematics with Applications .2020 (79)

(22)贾俊青. A Fourier spectral method for the nonlinear coupled space fractional Klein-Gordon-Schr?dinger equations .ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK .2020 ,2 (10)

(23)张平蕊. Improved uniform error estimates for the two-dimensional nonlinear space fractional Dirac equation with small potentials over long-time dynamics .Applied Mathematics and Computation .2024 (466)

(24)贾俊青. An efficient second order stabilized scheme for the two dimensional time fractional Allen-Cahn equation .Applied Numerical Mathematics .2021 (165)

(25)贾俊青. An L1 Legendre–Galerkin spectral method with fast algorithm for the two-dimensional nonlinear coupled time fractional Schr?dinger equation and its parameter estimation .Computers & Mathematics with Applications .2021 ,82 :13-35

(26)林爱华. 粒子入射双δ势垒时空间分数阶薛定谔方程的解 .山东大学学报:工学版 .2010 ,40 (1):139-143

(27)张慧. Convergence analysis of a fast second-order time-stepping numerical method for two-dimensional nonlinear time–space fractional Schr?dinger equation .Numerical Methods for Partial Differential Equations .2023 ,39 (1):657

(28)张慧. ERROR ANALYSIS OF NONLINEAR TIME FRACTIONAL MOBILE/IMMOBILE ADVECTION-DIFFUSION EQUATION WITH WEAKLY SINGULAR SOLUTIONS .Fractional Calculus and Applied Analysis .2021 ,24 (1):202-224

(29)张慧. A Crank–Nicolson ADI Galerkin–Legendre spectral method for the two-dimensional Riesz space distributed-order advection–diffusion equation .Computers & Mathematics with Applications .2018 ,76 (10):2460-2476

(30)张慧. Crank–Nicolson Fourier spectral methods for the space fractional nonlinear Schr?dinger equation and its parameter estimation .INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS .2019 ,96 (2):238-263

(31)刘艺. Fast method and convergence analysis for the magnetohydrodynamic flow and heat transfer of fractional Maxwell fluid .Applied Mathematics and Computation .2022 ,430

(32)王淑鹏. Fractional physics-informed neural networks for time-fractional phase field models .Nonlinear Dynamics .2022 ,110 (3):2715

(33)Fan, Wenping. Error analysis of the unstructured mesh finite element method for the two-dimensional time-space fractional Schrodinger equation with a time-independent potential .INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS .2020 ,98 (8):1663-1682

(34)刘艺. Fast evaluation for magnetohydrodynamic flow and heat transfer of fractional Oldroyd-B fluids between parallel plates .ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK .2021 ,101 (10)

(35)Fan, Wenping. Error analysis of the unstructured mesh finite element method for the two-dimensional time-space fractional Schrodinger equation with a time-independent potential .INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS .2021 ,98 (8):1663

(36)迟晓庆. Finite difference Laguerre-Legendre spectral method for the two-dimensional generalized Oldroyd-B fluid on a semi-infinite domain .Applied Mathematics and Computation (New York) .2021 ,402

(37)郑茹梦. Legendre spectral methods based on two families of novel second-order numerical formulas for the fractional activator-inhibitor system .Applied Numerical Mathematics .2021 ,162 :235

(38)Bao, Weizhu. A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrodinger operator .Journal of Computational Physics .2020 ,421

(39)贾俊青. An L1 Legendre-Galerkin spectral method with fast algorithm for the two-dimensional nonlinear coupled time fractional Schrodinger equation and its parameter estimation .COMPUTERS & MATHEMATICS WITH APPLICATIONS Journal .2021 ,82 :13

(40)于波. A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation .Numerical Algorithms .2015 ,68 (4):923-950

(41)Zhang, Hui. Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations .Fractional Calculus and Applied Analysis .2022 ,25 (2):453-487

(42)贾俊青. Fast evaluation for the two-dimensional nonlinear coupled time-space fractional Klein-Gordon-Zakharov equations .Applied Mathematics Letters .2021 ,118

(43)贾俊青. An efficient second order stabilized scheme for the two dimensional time fractional Allen-Cahn equation .Applied Numerical Mathematics .2021 ,165 :216

(44)张慧. An H-1 convergence of the spectral method for the time-fractional non-linear diffusion equations .Advances in Computational Mathematics .2021 ,47 (5)

(45)张慧. An H-1 convergence of the spectral method for the time-fractional non-linear diffusion equations .Advances in Computational Mathematics .2021 ,47 (5)

(46)Zheng, Rumeng. Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation .COMPUTERS & MATHEMATICS WITH APPLICATIONS Journal .2020 ,80 (6):1523

(47)郑如梦. A Legendre spectral method on graded meshes for the two-dimensional multi-term time-fractional diffusion equation with non-smooth solutions .Applied Mathematics Letters .2020 ,104

(48)张慧. An optimal error estimate for the two-dimensional nonlinear time fractional advection-diffusion equation with smooth and non-smooth solutions .COMPUTERS & MATHEMATICS WITH APPLICATIONS Journal .2020 ,79 (10):2819

(49)张慧. A high-efficiency second-order numerical scheme for time-fractional phase field models by using extended SAV method .Nonlinear Dynamics .2020 ,102 (1):589

(50)Fan, Wenping. Error analysis of the unstructured mesh finite element method for the two-dimensional time-space fractional Schrodinger equation with a time-independent potential .INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS .2020

(51)张慧. A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations .Journal of Computational Physics .2020 ,405

(52)张慧. Chebyshev-Legendre spectral method and inverse problem analysis for the space fractional Benjamin-Bona-Mahony equation .Numerical Algorithms .2020 ,84 (2):513

(53)蒋晓芸. Unsteady magnetohydrodynamic flow of generalized second grade fluid through porous medium with Hall effects on heat and mass transfer .PHYSICS OF FLUIDS .2020 ,32 (11)

(54)迟晓庆. Parameter estimation for the time fractional heat conduction model based on experimental heat flux data .Applied Mathematics Letters .2020 ,102

(55)郑如梦. Efficient and accurate spectral method for the time-fractional dual-phase-lag heat transfer model and its parameter estimation .Mathematical Methods in the Applied Sciences .2020 ,43 (5):2216

(56)贾俊青. A Fourier spectral method for the nonlinear coupled space fractional Klein-Gordon-Schrodinger equations .ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK .2020 ,100 (2)

(57)杨秀. Numerical algorithm for two dimensional fractional Stokes' first problem for a heated generalized second grade fluid with smooth and non-smooth solution .COMPUTERS & MATHEMATICS WITH APPLICATIONS Journal .2019 ,78 (5):1562

(58)杨秀. Finite difference spectral approximation for the time-space fractional telegraph equation and its parameter estimation .Mathematical Methods in the Applied Sciences .2019 ,42 (18):6475

(59)于波. Temperature prediction by a fractional heat conduction model for the bi-layered spherical tissue in the hyperthermia experiment .International Journal of Thermal Sciences .2019 ,145

(60)Jiang Xiaoyun. Some Applications of Fractional Quantum Mechanics .2008 :688-691

(61)续焕英. Analysis of the time fractional dual-phase-lag Cattaneo diffusion equation .2014

(62)Jiang Xiaoyun. Fractional Heat Flow Model In Tissue Containing A Prevascular Tumor .2012

(63)张慧. Chebyshev-Legendre spectral method and inverse problem analysis for the space fractional Benjamin-Bona-Mahony equation .Numerical Algorithms .2020 ,84 (2):513-536

(64)杨秀. Finite difference spectral approximation for the time-space fractional telegraph equation and its parameter estimation .Mathematical methods in the applied sciences .2019 ,42 (18):6475-6489

(65)张慧. A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations .Journal of Computational Physics .2020 ,405 :109141

(66)迟晓庆. Parameter estimation for the time fractional heat conduction model based on experimental heat flux data .Applied Mathematics Letters .2020 ,102 :106094

(67)于波. Temperature prediction by a fractional heat conduction model for the bi-layered spherical tissue in the hyperthermia experiment .International Journal of Thermal Sciences .2019 ,145 :105990

(68)郑如梦. Efficient and accurate spectral method for the time-fractional dual-phase-lag heat transfer model and its parameter estimation .Mathematical Methods in the Applied Sciences .2020 ,43 (5):2216-2232

(69)贾俊青. A Fourier spectral method for the nonlinear coupled space fractional Klein-Gordon-Schrödinger equations .Zeitschrift für Angewandte Mathematik und Mechanik .2019 ,100 (2):e201800314

(70)范文萍. Some novel numerical techniques for an inverse problem of the multi-term time fractional partial differential equation .Journal of Computational and Applied Mathematics .2018 ,336 :114-126

(71)张慧. An optimal error estimate for the two-dimensional nonlinear time fractional advection-diffusion equation with smooth and non-smooth solutions .Computers & Mathematics with Applications .2020 ,79 (10):2819-2831

(72)张慧. Unconditionally convergent numerical method for the two-dimensional nonlinear time fractional diffusion-wave equation .Applied Numerical Mathematics .2019 ,146 :1-12

(73) Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients .SIAM Journal On Numerical Analysis .2016 ,54 (2):606-624

(74)杨秀. Parameter identification for fractional fractal diffusion model based on experimental data .Chaos .2019 ,29 (8):083134

(75)于波. Numerical algorithms to estimate relaxation parameters and Caputo fractional derivative for a fractional thermal wave model in spherical composite medium .Applied Mathematics and Computation .2016 ,274 :106-118

(76)于波. Numerical Identification of the Fractional Derivatives in the Two-Dimensional Fractional Cable Equation .Journal of Scientific Computing .2016 ,68 (1):252-272

(77)杨秀. Numerical algorithm for two dimensional fractional Stokes’ first problem for a heated generalized second grade fluid with smooth and non-smooth solution .Computers & Mathematics with Applications .2019 ,78 (5):1562-1571

(78)张慧. Spectral method and Bayesian parameter estimation for the space fractional coupled nonlinear Schrodinger equations .Nonlinear Dynamics .2019 ,95 (2):1599-1614

(79)郑如梦. Spectral methods for the time-fractional Navier-Stokes equation .Applied Mathematics Letters .2019 ,91 :194-200

(80)张慧. Crank-Nicolson Fourier spectral methods for the space fractional nonlinear Schrodinger equation and its parameter estimation .INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS .2019 ,96 (2):238

(81)杨秀. Numerical analysis for electroosmotic flow of fractional Maxwell fluids .Appl Math Lett .2018 ,78 :1

(82)张慧. Spectral method for solving the time fractional Boussinesq equation .Applied Mathematics Letters .2018 ,85 :164

(83)Jiang Xiaoyun. 复杂人体组织传热的时间分数阶模型及其解 .《山东大学学报》(理学版) .2012 ,47 (6)

(84)Fan, Wenping. The Unstructured Mesh Finite Element Method for the Two-Dimensional Multi-term Time-Space Fractional Diffusion-Wave Equation on an Irregular Convex Domain .Journal of Scientific Computing .2018 ,77 (1):27

(85)张慧. Galerkin-Legendre spectral schemes for nonlinear space fractional Schrodinger equation .Numerical Algorithms .2018 ,79 (1):337

(86)郑如梦. L1 Fourier spectral methods for a class of generalized two-dimensional time fractional nonlinear anomalous diffusion equations .Computers & Mathematics with Applications .2018 ,75 (5):1515

(87)于波. Numerical method for the estimation of the fractional parameters in the fractional mobile/immobile advection-diffusion model .INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS .2018 ,95 (6-7):1131

(88)张慧. A time-space spectral method for the time-space fractional Fokker-Planck equation and its inverse problem .Applied Mathematics and Computation .2018 ,320 :302

(89)续焕英. Numerical analysis of the space fractional Navier-Stokes equations .Applied Mathematics Letters .2017 ,69 :94

(90)Chen, S.. Parameters estimation for a new anomalous thermal diffusion model in layered media .Computers & Mathematics with Applications .2017 ,73 (6):1172

(91)范文萍. A NOVEL UNSTRUCTURED MESH FINITE ELEMENT METHOD FOR SOLVING THE TIME-SPACE FRACTIONAL WAVE EQUATION ON A TWO-DIMENSIONAL IRREGULAR CONVEX DOMAIN .Fractional Calculus and Applied Analysis .2017 ,20 (2):352

(92)马颖. Parameters identification for the unsteady helical flows of a generalized Oldroyd-B fluid model based on its numerical solution .Canadian Journal of Physics .2017 ,95 (8):682

(93)Jiang Xiaoyun. Electroosmotic flow of Eyring fluid in slit microchannel with slip boundary condition .Applied Mathematics and Mechanics – Engl Ed .2014 ,35 (6):689

(94)续焕英. Creep constitutive models for viscoelastic materials based on fractional derivatives .Computers & Mathematics with Applications .2017 ,73 (6):1377

(95)姜玉婷. Transient electroosmotic slip flow of fractional Oldroyd-B fluids .MICROFLUIDICS AND NANOFLUIDICS .2017 ,21 (1)

(96)Jiang Xiaoyun. Time fractional dual-phase-lag heat conduction equation .Chinese Physics B .2015 ,24 (3):034401

(97)Jiang Xiaoyun. An inverse problem to estimate an unknown order of a Riemann–Liouville fractional derivative for a fractional Stokes’ first problem for a heated generalized second grade fluid .Acta Mech Sin .2015 ,31 (2):153

(98)Jiang Xiaoyun. Analytical and numerical solutions of time fractional anomalous thermal diffusion equation in composite medium .ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik .2015 ,95 :156

(99)Jiang Xiaoyun. Analytical solutions for time-fractional axisymmetric diffusion-wave equation with a source term .Nonlinear Analysis: Real World Applications, .2011 ,12 :1841

(100)Jiang Xiaoyun. Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition .Applied Mathematics and Computation .2009 ,208 :434

(101)Jiang Xiaoyun. Parameter estimation for the fractional fractal diffusion model based on its numerical solution .Computers and Mathematics with Applications .2016 ,71 :642

(102)Jiang Xiaoyun. Parameter estimation for the fractional Schr?dinger equation using Bayesian method .Journal of Mathematics Physics .2016 ,57 (8):57:082104-1

(103)Jiang Xiaoyun. Analytical solutions for anomalous transport of volatile pollutants in nonaqueous-phase liquid contaminated soil .Nonlinear Dynamics .2010 ,62 (4):895

(104)Jiang Xiaoyun. 有限分形介质中带有分数阶振子的分数阶反应扩散方程及其解析解 .《山东大学学报》(理学版) .2009 ,44 (2)

(105)Jiang Xiaoyun. Analytical solution for the time-fractional heat conduction equation in spherical coordinate system by the method of variable separation .Acta Mechanica Sinica .2011 ,27 (6):994

(106)Jiang Xiaoyun. The numerical method for the moving boundary problem with space-fractional derivative in drug release devices .Applied Mathematical Modelling .2015 ,39 :2385

(107)Jiang Xiaoyun. 粒子入射双δ势垒时空分数阶薛定谔方程的解 .山东大学学报(工学版) .2010 ,40 (1)

(108)Jiang Xiaoyun. A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients .Applied Mathematics and Computation .2015 ,257 :591

(109)Jiang Xiaoyun. High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation .Journal of Computational and Applied Mathematics .2015 ,278 :119

(110)Jiang Xiaoyun. 分形生物组织传热方程及其解析解 .《山东大学学报》(理学版) .2012 ,47 (10):105

(111)Jiang Xiaoyun. Fractional Cattaneo heat equation in a semi-infinite medium .Chinese Physics B .2013 ,23 (1):014401

(112)Jiang Xiaoyun. An inverse problem of parameter estimation for time fractional heat conduction in a composite medium using carbon–carbon experimental data, .Physica B .2015 ,456 :9

(113)Jiang Xiaoyun. Parameters estimation for a one-dimensional time fractional thermal wave equation with fractional heat flux conditions .ACTA PHYSICA SINICA .2014 ,63 :140202

(114)Jiang Xiaoyun. Solutions of the space-time fractional Cattaneo diffusion equation .Physica A .2011 ,390 :1876

(115)Jiang Xiaoyun. A novel compact numerical method for solving the two dimensional non-linear fractional reaction-sub-diffusion equation .Numerical Algorithms .2015 ,68 :923

(116)Jiang Xiaoyun. A Fractional Anomalous Diffusion Model and Numerical Simulation for Sodium Ion Transport in the Intestinal Wall, .Advances in Mathematical Physics .2013 ,2013 :479634

(117)Jiang Xiaoyun. Thermal wave model of bioheat transfer with modified Riemann-Liouville fractional derivative .J.phys.A .2012 ,45 :458101

(118)Jiang Xiaoyun. Analytical solutions to time-fractional partial differential equations in a two-dimensional multilayer annulus .Physica A .2012 ,391 :3865

(119)Jiang Xiaoyun. Time-space fractional Schrodinger like equation with a nonlocal term .European Physical Journal-Special Topics .2011 ,193 (1):61

(120)Jiang Xiaoyun. Exact solutions of fractional Schrodinger-like equation with a nonlocal term .Journalof Mathematical Physics .2011 ,52 (4):042105-1

(121)Jiang Xiaoyun. The time fractional heat conduction equation in the general orthogonal curvilinear coordinate and the cylindrical coordinate systems .Physica A .2010 ,389 (17):3368

(122)Jiang Xiaoyun. The fractional finite Hankel transform and its applications in fractal space .Journal of Physics A .2009 ,42 (38):385201-1

(123)Jiang Xiaoyun. Analysis of fractional anomalous diffusion caused by an instantaneous point source in disordered fractal media .INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS Journal .2006 ,41 (1):156

(124)Jiang Xiaoyun. The fractional diffusion model with an absorption term and modified Fick’s law for non-local transport processes .Nonlinear Analysis: Real World Applications .2010 ,11 (1):262

(125)张慧. A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation .Computers & Mathematics with Applications .2018 ,76 (10):2460

(126)Jiang Xiaoyun. Parameter estimation for the generalized network Zener model based on the Bayesian method .Physica A .2015 ,427 :40

(127)杨秀. A time-space spectral tau method for the time fractional cable equation and its inverse problem .Applied Numerical Mathematics .2018 ,130 :95

Patents
Research Projects

1. 基于肿瘤微环境的胰腺癌放射性粒子植入治疗策略及超微结构调控方法-胰腺肿瘤微环境耦合模型及高效并行算法, 2025-01-18-2026-12-31

2. 复杂经济系统分析、控制博弈的科学计算, 2023-12-01-2028-11-30

3. 高维磁流体非局部模型快速计算及智能化算法, 2022-01-01-2025-03-31

4. 心血管系统流固耦合的多尺度流体动力学模型, 2021-12-01-2026-11-30

5. 脑组织微循环氧气传输与神经血管交互调节的多场耦合模型, 2021-12-01-2026-11-30

6. 复杂磁流体耦合分数阶模型高效算法及应用研究, 2021-08-18-2026-12-31

7. 复杂磁流体耦合分数阶模型高效算法及应用研究, 2021-10-12-2026-12-31

8. Control and Countermeasure of nonlinear stochastic system, 2019-11-18-2025-03-31

9. Study on mechanical behavior of abnormal phenomena in the process of pollutant migration in porous media, 2011-06-01-2013-12-31

10. Efficient algorithms for several kinds of fractional nonlinear evolution equations and their applications in hydrodynamics, 2017-08-17-2021-12-31

11. Parameter inversion of viscoelastic constitutive models based on fractional calculus and its applications, 2014-08-15-2018-12-31

12. Fractional anomalous diffusion models and their applications in quantum mechanics, 2007-12-01-2010-12-31

13. Research on dynamic models and algorithms of complex biological network transmission based on fractional calculus theory, 2011-08-31-2014-12-31

14. Fractional derivative model and heat transfer mechanism of complex human tissues, 2011-01-01-2013-12-31

Research Group
Name of Research Group:
Fractional calculus team
Description of Research Group:
Based on the fractional calculus theory, numerical calculation theory and machine learning, fractional calculus team established mathematical models of complex media, developed new numerical algorithms and theories based on fractional operators, and applied them to fluid mechanics, quantum mechanics, etc. In recent years, the team has systematically established the theoretical framework of fractional calculus and studied the mechanical mechanism of anomalous phenomena in mass transport, energy diffusion and momentum transfer. A series of innovative achievements have been made in the field of complex medium fractional equation modeling, analytical and numerical calculation, parameter identification and so on. The achievement was awarded one second prize of Natural Science of Shandong Province.
Members:
Student Information
  • 王华宇  2023-09-23 Hits:[] Times
  • 李明  2023-09-23 Hits:[] Times
  • 石珊  2023-09-23 Hits:[] Times
  • 邢惠隋  2023-09-23 Hits:[] Times
  • 马启博  2023-09-23 Hits:[] Times
  • 刘艳茹  2023-09-23 Hits:[] Times
  • 何静  2023-09-23 Hits:[] Times
  • 于东鑫  2023-09-23 Hits:[] Times
  • 夏俪  2023-09-23 Hits:[] Times
  • 张平蕊  2023-09-23 Hits:[] Times
  • 张浩鑫  2023-09-23 Hits:[] Times
  • 张欣悦  2023-09-23 Hits:[] Times
  • Liu Yanqin  2020-07-15 Hits:[] Times
  • Zhao Lingcai  2020-07-15 Hits:[] Times
  • Tian Rui  2020-07-15 Hits:[] Times
  • Gao Xiaowei  2020-07-15 Hits:[] Times
  • Lin Aihua  2020-07-15 Hits:[] Times
  • Feng Kenan  2019-04-17 Hits:[] Times
  • Chen Yanping  2019-04-17 Hits:[] Times
  • Zhang Fangfang  2019-04-17 Hits:[] Times
  • Ning Tinghui  2019-04-17 Hits:[] Times
  • Shi Shaoli  2019-04-17 Hits:[] Times
  • Zhai Rukun  2019-04-17 Hits:[] Times
  • Gao Xiaolong  2019-04-17 Hits:[] Times
  • Lu Weishan  2019-04-17 Hits:[] Times
  • Liu Jianlong  2019-04-17 Hits:[] Times
  • Zhuang Qiao  2019-04-17 Hits:[] Times
  • Sun Liang  2019-04-17 Hits:[] Times
  • Chen Shanzhen  2019-04-17 Hits:[] Times
  • Yu Bo  2019-04-17 Hits:[] Times
  • Fan Wenping  2019-04-17 Hits:[] Times
  • Xu Huanying  2019-04-17 Hits:[] Times
  • Zhang Hui  2019-04-17 Hits:[] Times
  • Ma Ying  2019-04-18 Hits:[] Times
  • Zheng Rumeng  2019-04-17 Hits:[] Times
  • Yang Xiu  2019-04-17 Hits:[] Times
  • Jia Junqing  2019-04-18 Hits:[] Times
  • Chi Xiaoqing  2019-04-18 Hits:[] Times
  • Liu Yi  2019-04-18 Hits:[] Times
  • Wang Shupeng  2020-03-20 Hits:[] Times
  • Copyright All Rights Reserved Shandong University Address: No. 27 Shanda South Road, Jinan City, Shandong Province, China: 250100
    Information desk: (86) - 0531-88395114
    On Duty Telephone: (86) - 0531-88364731 Construction and Maintenance: Information Work Office of Shandong University