Pseudospectral methods for Nagumo equation

被引：19

作者：

Dehghan, Mehdi ^{[1
]}

Fakhar-Izadi, Farhad ^{[1
]}

机构：

[1] Amir Kabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, Tehran, Iran

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING | 2011年 / 27卷 / 04期

关键词：

Nagumo equation; pseudospectral; discrete Fourier series; leapfrog; rational Chebyshev functions; Benjamin-Ono equation; REACTION-DIFFUSION EQUATIONS; NON-LINEAR DIFFUSION; APPROXIMATE SOLUTIONS; NUMERICAL-SOLUTION; TRANSMISSION LINE; PROPAGATION; MODEL; SUBJECT; PULSE;

D O I：

10.1002/cnm.1319

中图分类号：

R318 [生物医学工程];

学科分类号：

0831 ;

摘要：

In this paper we present two pseudospectral methods based on Fourier series and rational Chebyshev functions for solving the Nagumo equation. In each of the two presented methods the problem is reduced to a system of ordinary differential equations that is solved by the leapfrog difference scheme and the fourth-order Runge-Kutta method, respectively. We compare the numerical solutions with the exact solution to validate the numerical methods. Numerically comparing of the two methods also will be considered. Copyright (C) 2009 John Wiley & Sons, Ltd.

引用

页码：553 / 561

页数：9

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