Title
Analytical and numerical solutions of the density dependent Nagumo telegraph equation
Abbreviated Journal Title
Nonlinear Anal.-Real World Appl.
Keywords
Analytical solution; Numerical solution; Runge-Kutta-Fehlberg 45 method; Nagumo telegraph equation; DIFFUSION-EQUATIONS; SYSTEMS; Mathematics, Applied
Abstract
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.
Journal Title
Nonlinear Analysis-Real World Applications
Volume
11
Issue/Number
5
Publication Date
1-1-2010
Document Type
Article
Language
English
First Page
3923
Last Page
3929
WOS Identifier
ISSN
1468-1218
Recommended Citation
"Analytical and numerical solutions of the density dependent Nagumo telegraph equation" (2010). Faculty Bibliography 2010s. 895.
https://stars.library.ucf.edu/facultybib2010/895
Comments
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