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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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, 219, 2024.
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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, 466, 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, 2024.
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贾俊青. Fast evaluation for the two-dimensional nonlinear coupled time-space fractional Klein-Gordon-Zakharov equations. Applied Mathematics Letters, 2024.
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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, 2024.
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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, 2, 2024.
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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.
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贾俊青. An efficient second order stabilized scheme for the two dimensional time fractional Allen-Cahn equation. Applied Numerical Mathematics, 2024.
Patents
Published Books
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Research Projects
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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
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Study on mechanical behavior of abnormal phenomena in the process of pollutant migration in porous media, 2011-06-01-2013-12-31
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Efficient algorithms for several kinds of fractional nonlinear evolution equations and their applications in hydrodynamics, 2017-08-17-2021-12-31
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Parameter inversion of viscoelastic constitutive models based on fractional calculus and its applications, 2014-08-15-2018-12-31