The application of the modified variational iteration method on the generalized Fisher's equation

DOI10.1007/s12190-008-0199-0zbMath1216.65138OpenAlexW2002229489MaRDI QIDQ1034960

Mojtaba Ghanbari, Mashallah Matin far

Publication date: 9 November 2009

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

Full work available at URL: https://doi.org/10.1007/s12190-008-0199-0

zbMATH Keywords

convergencecomparison of methodsLagrange multiplierFisher's equationvariational iteration methodvariational theorymodified variational iteration methodapproximate series solution

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Cites Work

• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Modified variational iteration method for Boussinesq equation
• Solving nonlinear partial differential equations using the modified variational iteration Padé technique
• On the convergence of He's variational iteration method
• Toward a modified variational iteration method
• An analytic study of Fisher's equation by using Adomian decomposition method
• Solitary wave solutions of nonlinear wave equations
• On Traveling Wave Solutions of Fisher's Equation in Two Spatial Dimensions
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS