Analytical and numerical solutions of the density dependent Nagumo telegraph equation

被引：10
|
作者：
Van Gorder, Robert A. [1 ]
Vajravelu, K. [1 ]
机构：
[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 05期
关键词：
Analytical solution; Numerical solution; Runge-Kutta-Fehlberg; 45; method; Nagumo telegraph equation; DIFFUSION-EQUATIONS; SYSTEMS;
D O I：
10.1016/j.nonrwa.2010.02.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtained analytical and numerical solutions to a class of density dependent diffusion equations with memory-delay effect. This is a generalization of the density dependent diffusion Nagumo equation we studied recently [RA. Van Corder, K. Vajravelu, Physics Letters A 372 (2008) 5152]. Furthermore, we obtained series solutions for various strengths of the density dependence along with bounds on the range of the convergence. The numerical solutions are obtained by the Runge-Kutta-Fehlberg 45 method. The dependence of the traveling wave solutions on various parameters, particularly the memory-delay term, is discussed. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3923 / 3929
页数：7
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