Analytic solution of partial differential equations with Adomian's decomposition

DOI10.1108/03684920310458584zbMath1049.35007OpenAlexW2027588411MaRDI QIDQ4462616

Antonio García-Olivares

Publication date: 18 May 2004

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920310458584

zbMATH Keywords

Adomian methodAdomian polynomialsboundary conditions on a rectangle

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Series solutions to PDEs (35C10)

Related Items (5)

Approximation of solutions of polynomial partial differential equations in two independent variables ⋮ A Taylor series method for the solution of the linear initial-boundary-value problems for partial differential equations ⋮ Nonlinear analysis of a non-Fourier heat conduction problem in a living tissue heated by laser source ⋮ Modified decomposition method applied to laminated thick plates in nonlinear bending ⋮ Analytical approximants of time-dependent partial differential equations with tau methods

Cites Work

• Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations
• Solutions of nonlinear P. D. E
• Convergence of Adomian's Method

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