Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Maohua Ran"'
Publikováno v:
AIMS Mathematics, Vol 8, Iss 1, Pp 264-284 (2023)
In this work, the ADI-FDTD method with fourth-order accuracy in time for the 2-D Maxwell's equations without sources and charges is proposed. We mainly focus on energy analysis of the proposed ADI-FDTD method. By using the energy method, we derive th
Externí odkaz:
https://doaj.org/article/78411bc919f9479f88b1a3b563be6be4
Publikováno v:
Mathematics and Computers in Simulation. 210:532-546
Higher-order energy-preserving difference scheme for the fourth-order nonlinear strain wave equation
Publikováno v:
Computers & Mathematics with Applications. 135:124-133
Publikováno v:
IEEE Access, Vol 7, Pp 5554-5563 (2019)
In this paper, we investigate a linearized finite difference scheme for the variable coefficient semi-linear fractional convection-diffusion wave equation with delay. Based on reversible recovery technique, the original problems are transformed into
Externí odkaz:
https://doaj.org/article/61302b99551547ff9d630bcdd7dcecc5
Numerical Investigations for a Class of Variable Coefficient Fractional Burgers Equations With Delay
Publikováno v:
IEEE Access, Vol 7, Pp 26892-26899 (2019)
This paper is concerned with the numerical simulations for a class of variable coefficient fractional Burgers equations with delay. The proposed numerical scheme has lower computational cost than the traditional implicit difference schemes and can re
Externí odkaz:
https://doaj.org/article/f0865875621049b682303937c6887f17
Autor:
Maohua Ran1 maohuaran@163.com, Chengjian Zhang2 cjzhang@mail.hust.edu.cn
Publikováno v:
Journal of Computational Mathematics. 2020, Vol. 38 Issue 2, p239-253. 15p.
Linearized compact difference methods for solving nonlinear Sobolev equations with distributed delay
Autor:
Zengqiang Tan, Maohua Ran
Publikováno v:
Numerical Methods for Partial Differential Equations. 39:2141-2162
Publikováno v:
Networks and Heterogeneous Media. 18:291-309
This paper is concerned with the numerical approximations for the variable coefficient fourth-order fractional sub-diffusion equations subject to the second Dirichlet boundary conditions. We construct two effective difference schemes with second orde
Autor:
Maohua Ran, Zhouping Feng
Publikováno v:
Numerical Algorithms.
Publikováno v:
Mathematics and Computers in Simulation. 187:110-133
In this paper, we focus on the numerical computation for a class of fourth-order fractional sub-diffusion equations with spatially variable coefficient under the first Dirichlet boundary conditions. Two finite difference schemes with second order acc