An approximation scheme for a nonlinear diffusion Fisher's equation

DOI10.1016/j.amc.2006.07.117zbMath1121.65101OpenAlexW2015393692MaRDI QIDQ876634

M. S. El-Azab

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.117

zbMATH Keywords

error analysisparabolic equationnumerical experimentcovergencenonlinear diffusion Fisher's equationRothe-wavelet method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (8)

On the numerical solution of Fisher's equation by an efficient algorithm based on multiwavelets ⋮ Numerical solutions of nonlinear Fisher's reaction-diffusion equation with modified cubic B-spline collocation method ⋮ Finite element solution of nonlinear diffusion problems ⋮ Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations ⋮ On a conditionally stable nonlinear method to approximate some monotone and bounded solutions of a generalized population model ⋮ Efficient numerical solution of Fisher's equation by using B-spline method ⋮ A boundedness and monotonicity preserving method for a generalized population model ⋮ New Rothe-wavelet method for solving telegraph equations

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• Introduction to wavelets in engineering
• Wavelet–Galerkin solutions for one‐dimensional partial differential equations
• Wavelets and Dilation Equations: A Brief Introduction
• Wavelet-Galerkin method for solving parabolic equations in finite domains

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