Analytical and numerical solutions of the density dependent Nagumo telegraph equation

DOI10.1016/j.nonrwa.2010.02.019zbMath1201.35073OpenAlexW2026603371MaRDI QIDQ708554

Robert A. van Gorder, Kuppalapalle Vajravelu

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.02.019

zbMATH Keywords

Runge-Kutta-Fehlberg 45 method

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Theoretical approximation in context of PDEs (35A35) Initial value problems for second-order hyperbolic equations (35L15) Traveling wave solutions (35C07) Second-order semilinear hyperbolic equations (35L71)

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Cites Work

• Accurate computation of traveling wave solutions of some nonlinear diffusion equations
• Analytical and numerical solutions of the density dependent diffusion Nagumo equation
• On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach
• Analytic and approximate solutions for Nagumo telegraph reaction diffusion equation
• Wave speeds of density dependent Nagumo diffusion equations, inspired by oscillating gap-junction conductance in the islets of Langerhans
• Topological properties of linearly coupled expanding map lattices

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