The Differential Quadrature Solution of Reaction-Diffusion Equation Using Explicit and Implicit Numerical Schemes
The Differential Quadrature Solution of Reaction-Diffusion Equation Using Explicit and Implicit Numerical Schemes作者机构：Department of Engineering Mathematics and Physics Faculty of Engineering Zagazig University Zagazig Egypt
出 版 物：《Applied Mathematics》 (应用数学（英文）)
年 卷 期：2014年第5卷第3期
页 面：327-336页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Reaction-Diffusion Implicit Euler Runge-Kutta Differential Quadrature Perturbation
摘 要：In this paper, two different numerical schemes, namely the Runge-Kutta fourth order method and the implicit Euler method with perturbation method of the second degree, are applied to solve the nonlinear thermal wave in one and two dimensions using the differential quadrature method. The aim of this paper is to make comparison between previous numerical schemes and detect which is more efficient and more accurate by comparing the obtained results with the available analytical ones and computing the computational time.
维普期刊数据库