Title
A variational formulation of the Nagumo reaction-diffusion equation and the Nagumo telegraph equation
Abbreviated Journal Title
Nonlinear Anal.-Real World Appl.
Keywords
Nagumo reaction-diffusion equation; Nagumo telegraph equation; Numerical; solution; Mathematics, Applied
Abstract
We consider the Nagumo reaction-diffusion equation u(t) = u(xx) + f(u) and the Nagumo telegraph equation tau u(tt) + (1 - tau f'(u))u(t) = u(xx) + f(u), where f(u) = u(a - u)(1 - u) as boundary value problems over the finite spatial interval x is an element of [0, L] and finite time t is an element of [0, t*]. We are able to obtain approximate solutions for the boundary value problems via a variational technique. Also, we obtain numerical solutions for some special cases, in order to demonstrate the validity of the variational technique. Also, these numerical solutions are used to discuss the qualitative characteristics of the solutions for the specific initial data considered. (C) 2009 Elsevier Ltd. All rights reserved.
Journal Title
Nonlinear Analysis-Real World Applications
Volume
11
Issue/Number
4
Publication Date
1-1-2010
Document Type
Article
Language
English
First Page
2957
Last Page
2962
WOS Identifier
ISSN
1468-1218
Recommended Citation
"A variational formulation of the Nagumo reaction-diffusion equation and the Nagumo telegraph equation" (2010). Faculty Bibliography 2010s. 892.
https://stars.library.ucf.edu/facultybib2010/892
Comments
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