Analytical and numerical solutions of the density dependent diffusion Nagumo equation
Abbreviated Journal Title
Phys. Lett. A
analytical solution; numerical solution; Runge-Kutta-Fehlberg 45 method; Nagumo equation; Physics, Multidisciplinary
In this Letter, we obtained solutions to a class of density dependent diffusion Nagumo equations. In particular, series solutions are obtained, along with a bound for the range of the convergence. Also, numerical solutions are obtained by the Runge-Kutta-Fehlberg 45 method. Moreover, the dependence of the traveling wave solutions on various parameters is discussed. Furthermore, we compare the series solutions with the numerical solutions to validate the numerical method. The results obtained in this study reveal many interesting behaviors that warrant further study on the Nagumo equation. (c) 2008 Elsevier B.V. All rights reserved.
Physics Letters A
"Analytical and numerical solutions of the density dependent diffusion Nagumo equation" (2008). Faculty Bibliography 2000s. 1081.