Scientific Research
Working-Papers
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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
Paper Publications
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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, 97, 2025.
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刘艺. Numerical Simulation and Parameter Estimation of theSpace-Fractional Magnetohydrodynamic Flow and Heat Transfer Coupled Model. Fractal and Fractional, 8, 2025.
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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, 233, 2025.
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石珊. A fast method and convergence analysis for the MHD flow model of generalized second-grade fluid. Computers and Mathematics with Applications, 171, 2025.
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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, 133, 2025.
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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, 40, 2025.
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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, 175, 62-86, 2024.
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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, 97, 2024.
Patents
Published Books
Research Projects
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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
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复杂经济系统分析、控制博弈的科学计算, 2023-12-01-2028-11-30
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高维磁流体非局部模型快速计算及智能化算法, 2022-01-01-2024-12-31
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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
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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
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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
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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
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Control and Countermeasure of nonlinear stochastic system, 2019-11-18-2024-12-31