文献类型：期刊文献

英文题名：The discrete homotopy perturbation method for solving burgers' and heat equations

作者：Zhu, Hongqing[1]; Ding, Meiyu[1]

机构：[1] School of Information Science and Engineering, East China University of Science and Technology, Shanghai 200237, China

年份：2014

卷号：11

期号：5

起止页码：1647

外文期刊名：Journal of Information and Computational Science

收录：EI(收录号：20141517560150)

语种：英文

外文关键词：Difference equations - Heat transfer - Finite difference method - Perturbation techniques

摘要：This paper introduces a discrete version of Homotopy Perturbation Method (DHPM) that efficiently solves linear or non-linear problems. Burgers' and heat equations are firstly discretized in Crank-Nicolson finite difference scheme. This scheme leads to a system of linear or non-linear difference equations to be solved at each time-step. Then, DHPM is used to solve this system. To assess the simplicity and accuracy of DHPM, this study considers several examples. Numerical comparisons between the DHPM and the available exact solution reveal that the new technique is a promising tool for solving linear and non-linear Partial Differential Equations (PDEs). ? 2014 by Binary Information Press.