Analytic and approximate solutions for Nagumo telegraph reaction diffusion equation

DOI10.1016/j.amc.2003.08.050zbMath1054.65104OpenAlexW2130118894MaRDI QIDQ1881710

H. A. Abdusalam

Publication date: 14 October 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.050

zbMATH Keywords

diffusion equationtraveling wave solutionsNagumo equationPicard iteration methodtelegraph reaction diffusion equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Cites Work

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• Resonance in a noise-driven excitable neuron model
• Emergence of synchronous oscillations in neural networks excited by noise
• Nagumo's equation
• CHAOTIC SOLUTIONS OF THE DIRICHLET PROBLEMS FOR THE FORCED NAGUMO EQUATION
• On Traveling Wave Solutions of Fisher's Equation in Two Spatial Dimensions
• Numerical studies of the laminar boundary layer for Mach numbers up to 15
• Approximate solutions of the Kuramoto-Sivashinsky equation for periodic boundary value problems and chaos

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