Results 61 to 70 of about 267 (71)

High Order Finite Difference/Spectral Methods to a Water Wave Model with Nonlocal Viscosity

Journal of Computational Mathematics, 2020
In this paper, efficient numerical scheme is proposed for solving the water wave model with nonlocal viscous term that describe the propagation of surface water wave.
Mo Xu
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An Adaptive Grid Method for Singularly Perturbed Time-Dependent Convection-Diffusion Problems

, 2016
In this paper, we study the numerical solution of singularly perturbed timedependent convection-diffusion problems. To solve these problems, the backward Euler method is first applied to discretize the time derivative on a uniform mesh, and the classical
Yanping Chen, Li-bin Liu
semanticscholar   +1 more source

Local Structure-Preserving Algorithms for the KdV Equation

, 2017
In this paper, based on the concatenating method, we present a unified framework to construct a series of local structure-preserving algorithms for the Korteweg-de Vries (KdV) equation, including eight multi-symplectic algorithms, eight local energy ...
Jialin Wang, Yushun Wang
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High Accuracy Spectral Method for the Space-Fractional Diffusion Equations

, 2014
In this paper, a high order accurate spectral method is presented for the space-fractional diffusion equations. Based on Fourier spectral method in space and Chebyshev collocation method in time, three high order accuracy schemes are proposed.
S. Zhai
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Numerical Method for The Time Fractional Fokker-Planck Equation

, 2012
In this paper, a new numerical algorithm for solving the time fractional Fokker-Planck equation is proposed. The analysis of local truncation error and the stability of this method are investigated.
Xuenian Cao, Jiang Fu, Hu Huang
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A Hybrid FETD-FDTD Method with Nonconforming Meshes

, 2011
A quasi non-overlapping hybrid scheme that combines the finite-difference time-domain(FDTD) method andthefinite-element time-domain (FETD)method with nonconforming meshes is developed for time-domain solutions of Maxwell's equa- tions.
Bao Zhu, Jiefu Chen, W. Zhong, Q. Liu
semanticscholar   +1 more source

A Numerical Method for the Time Fractional Model of Generalised Second Grade Fluid Through Porous Media

East Asian Journal on Applied Mathematics, 2018
A numerical method for the generalised second grade fluid through porous media with anomalous diffusion is considered. The method is based on a combination of finite differences in time and a spectral method in space directions.
M. H. Lin
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Integrable Discretisation of the Lotka-Volterra System

, 2015
In this paper, we apply Hirota’s discretisation to a three-dimensional integrable LotkaVolterra system. By analyzing the three-dimensional modified equation of the resulting numerical method, we show that it is volume-preserving, and has two independent ...
Yangbo He
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Higher-Order Accurate Schemes for a Variable Coefficient Singularly Perturbed Reaction-Diffusion Problem of Highly Oscillatory Type

, 2016
This paper addresses the numerical approximation of linear, steady, one-dimensional, variable coefficient singular perturbation problems of reaction-diffusion type which exhibit rapid oscillations. Since the diffusion and reaction terms are of like sign,
M. BrianJ., Cartin
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Numerical Approximations of the Spectral Discretization of Flame Front Model

, 2015
In this paper, we consider the numerical solution of the flame front equation, which is one of the most fundamental equations for modeling combustion theory.
Jun Zhang, Wulan Li, Xin Fan, Xiaojun Yu
semanticscholar   +1 more source