The convergence analysis of the decomposition method for the \((1+1)\)-parabolic problem in nonuniform media

DOI10.1007/S10440-010-9573-7zbMath1207.35018OpenAlexW2031929862MaRDI QIDQ607697

M. Manuela Rodrigues, Eugénio M. Rocha

Publication date: 3 December 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-010-9573-7

zbMATH Keywords

decomposition methodAdomian decomposition methodreaction diffusion convection equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Series solutions to PDEs (35C10) Theoretical approximation in context of PDEs (35A35) Other special methods applied to PDEs (35A25) Quasilinear parabolic equations (35K59)

Cites Work

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• A modified Adomian method for system of nonlinear differential equations
• A review of the decomposition method in applied mathematics
• Solving frontier problems of physics: the decomposition method
• Convergence of Adomian's method applied to differential equations
• Convergence of Adomian's method applied to nonlinear equations
• Adomian decomposition method for nonlinear reaction diffusion system of Lotka-Volterra type
• The Adomian decomposition method for solving delay differential equation

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