学术论文

[1]Yang Liu, Maohua Ran*,Li Zhang, Hamiltonian structure and structure-preserving methods for the two-dimensional fractional nonlinear Schrodinger wave equations, Computers & Mathematics with Applications,150 (2023) 54-69.

[2]Yang Liu, Maohua Ran*, Arbitrarily high-order explicit energy-conserving methods for the generalized nonlinear fractional Schrodinger wave equations, Mathematics and Computers in Simulation 216 (2024) 126-144.

[3]Maohua Ran*, Zhouping Feng, A stable second-order difference scheme for the generalized time-fractional non-Fickian delay reaction-diffusion equations, Numerical Algorithms, 93(2023)993-1012.

[4] Zhouping Feng, Maohua Ran*, Yang Liu, An efficient difference scheme for the non-Fickian time-fractional diffusion equations with variable coefficient, Applied Mathematics Letters, 121(2021)107489.

[5] Maohua Ran*, Xiaojuan Lei, A fast difference scheme for the variable coefficient time-fractional diffusion wave equations, Applied Numerical Mathematics,167(2021)31-44.

[6] Zhe Pu, Maohua Ran*, Hong Luo, Fast and high-order difference schemes for the fourth-order fractional sub-diffusion equations with spatially variable coefficient under the first Dirichlet boundary conditions, Mathematics and Computers in Simulation, 187(2021)110-133.

[7] Maohua Ran,Chengjian Zhang*,A High-Order Accuracy Method for Solving the Fractional Diffusion Equations,Journal of Computational Mathematics, 38(2020) 239-253.

[8] Maohua Ran*Chengjian ZhangLinearized Crank-Nicolson scheme for the nonlinear time-space fractional Schrodinger equations,Journal of Computational and Applied  Mathematics, 355(2019)218-231.

[9] Maohua Ran*Chengjian ZhangNew compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order,Applied Numerical Mathematics, 129(2018)58-70.

[10] Maohua Ran*Chengjian ZhangA conservative difference scheme for solving strongly coupled nonlinear fractional Schrodinger equations, Communications in Nonlinear Science and Numerical Simulation, 41(2016)64-83.


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