A new approach to travelling wave solution of a fourth‐order semilinear diffusion equation

DOI10.1108/03684920310493387zbMath1059.65092OpenAlexW1967668289MaRDI QIDQ3156208

Mustafa Inc, Yves Cherruault

Publication date: 6 January 2005

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920310493387

zbMATH Keywords

numerical examplesAdomian decomposition methodtravelling wave solutionsFisher-Kolmogorov equationfourth-order semilinear diffusion equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (5)

The decomposition method for linear, one-dimensional, time-dependent partial differential equations ⋮ A reliable technique for solving third‐order dispersion equations ⋮ An application of the modified decomposition method for the solution of the coupled Klein-Gordon-Schrödinger equation ⋮ The decomposition method for Cauchy reaction-diffusion problems ⋮ A comparison between Adomian decomposition and Tau methods

Cites Work

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• A decomposition method for solving the nonlinear Klein-Gordon equation
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• Convergence of Adomian’s method applied to integral equations
• New results of convergence of Adomian’s method
• Spatial Patterns Described by the Extended Fisher--Kolmogorov Equation: Periodic Solutions
• New results for the Adomian method

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