Accurate computation of traveling wave solutions of some nonlinear diffusion equations

DOI10.1016/j.wavemoti.2006.10.001zbMath1231.35099OpenAlexW2031474015MaRDI QIDQ661513

Mahmoud Bakheet A. Mansour

Publication date: 11 February 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2006.10.001

zbMATH Keywords

degenerate diffusiontraveling wave solutionssingular nonlinear Nagumo equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Solutions to PDEs in closed form (35C05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items

A geometric approach for solving the density-dependent diffusion Nagumo equation ⋮ Traveling wave patterns in nonlinear reaction-diffusion equations ⋮ Gaussian waves in the Fitzhugh-Nagumo equation demonstrate one role of the auxiliary function \(H(x, t)\) in the homotopy analysis method ⋮ On the fractional Nagumo equation with nonlinear diffusion and convection ⋮ TRAVELLING WAVE SOLUTIONS FOR DOUBLY DEGENERATE REACTION–DIFFUSION EQUATIONS ⋮ Traveling wave solutions for the extended Fisher/KPP equation ⋮ A numerical study of traveling wave fronts for a reaction-diffusion-advection model ⋮ Analytical and numerical solutions of the density dependent Nagumo telegraph equation ⋮ A variational formulation of the Nagumo reaction-diffusion equation and the Nagumo telegraph equation ⋮ Analytical and numerical solutions of the density dependent diffusion Nagumo equation ⋮ Oscillatory traveling waves for a population diffusion model with two age classes and nonlocality induced by maturation delay

Cites Work

• Applications of centre manifold theory
• On the diffusion of biological populations
• Travelling wave phenomena in nonlinear diffusion degenerate Nagumo equations
• Traveling wave solutions for some density dependent diffusion equations
• Weak travelling fronts for population models with density dependent dispersion
• Traveling Wave Solution for Some Nonlinear Diffusion Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item