A linear finite difference scheme for generalized time fractional Burgers equation D Li, C Zhang, M Ran Applied Mathematical Modelling 40 (11-12), 6069-6081, 2016 | 132 | 2016 |
A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations M Ran, C Zhang Communications in Nonlinear Science and Numerical Simulation 41, 64-83, 2016 | 93 | 2016 |
Analysis of the compact difference scheme for the semilinear fractional partial differential equation with time delay Q Zhang, M Ran, D Xu Applicable Analysis 96 (11), 1867-1884, 2017 | 58 | 2017 |
New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order M Ran, C Zhang Applied Numerical Mathematics 129, 58-70, 2018 | 50 | 2018 |
A linearly implicit conservative scheme for the fractional nonlinear Schrödinger equation with wave operator M Ran, C Zhang International Journal of Computer Mathematics 93 (7), 1103-1118, 2016 | 32 | 2016 |
Linearized Crank–Nicolson scheme for the nonlinear time–space fractional Schrödinger equations M Ran, C Zhang Journal of Computational and Applied Mathematics 355, 218-231, 2019 | 31 | 2019 |
Linearized Crank–Nicolson method for solving the nonlinear fractional diffusion equation with multi-delay M Ran, Y He International Journal of Computer Mathematics 95 (12), 2458-2470, 2018 | 25 | 2018 |
Compact difference scheme for a class of fractional-in-space nonlinear damped wave equations in two space dimensions M Ran, C Zhang Computers & Mathematics with Applications 71 (5), 1151-1162, 2016 | 24 | 2016 |
An implicit difference scheme for the time-fractional Cahn–Hilliard equations M Ran, X Zhou Mathematics and Computers in Simulation 180, 61-71, 2021 | 9 | 2021 |
Unconditionally stable compact theta schemes for solving the linear and semi-linear fourth-order diffusion equations M Ran, T Luo, L Zhang Applied Mathematics and Computation 342, 118-129, 2019 | 9 | 2019 |
A fast difference scheme for the variable coefficient time-fractional diffusion wave equations M Ran, X Lei Applied Numerical Mathematics 167, 31-44, 2021 | 8 | 2021 |
An effective algorithm for delay fractional convection-diffusion wave equation based on reversible exponential recovery method T Li, Q Zhang, W Niazi, Y Xu, M Ran IEEE Access 7, 5554-5563, 2018 | 7 | 2018 |
Fast and high-order difference schemes for the fourth-order fractional sub-diffusion equations with spatially variable coefficient under the first Dirichlet boundary conditions Z Pu, M Ran, H Luo Mathematics and Computers in Simulation 187, 110-133, 2021 | 6 | 2021 |
Linearized compact difference methods for solving nonlinear Sobolev equations with distributed delay Z Tan, M Ran Numerical Methods for Partial Differential Equations 39 (3), 2141-2162, 2023 | 5 | 2023 |
A HIGH-ORDER ACCURACY METHOD FOR SOLVING THE FRACTIONAL DIFFUSION EQUATIONS. M Ran, C Zhang Journal of Computational Mathematics 38 (2), 2020 | 5 | 2020 |
Arbitrarily high-order explicit energy-conserving methods for the generalized nonlinear fractional Schrödinger wave equations Y Liu, M Ran Mathematics and Computers in Simulation 216, 126-144, 2024 | 4 | 2024 |
An efficient difference scheme for the non-Fickian time-fractional diffusion equations with variable coefficient Z Feng, M Ran, Y Liu Applied Mathematics Letters 121, 107489, 2021 | 4 | 2021 |
Numerical approximation for two-dimensional neutral parabolic differential equations with delay Q Zhang, M Ran, Z Li International Journal of Modelling and Simulation 36 (1-2), 12-19, 2016 | 4 | 2016 |
Hamiltonian-preserving schemes for the two-dimensional fractional nonlinear Schrödinger wave equations Y Liu, M Ran, L Zhang Computers & Mathematics with Applications 150, 54-69, 2023 | 2 | 2023 |
A high-order structure-preserving difference scheme for generalized fractional Schrödinger equation with wave operator X Zhang, M Ran, Y Liu, L Zhang Mathematics and Computers in Simulation 210, 532-546, 2023 | 2 | 2023 |