Exact solutions to one dimensional non-homogeneous parabolic problems by the homogeneous Adomian decomposition method

DOI10.1016/j.amc.2006.08.044zbMath1117.65140OpenAlexW1977910385MaRDI QIDQ884541

Bongsoo Jang

Publication date: 6 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.044

zbMATH Keywords

numerical examplesAdomian decomposition methodmodified decomposition methodnon-homogeneous parabolic equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order parabolic equations (35K15)

Related Items (3)

Two-point boundary value problems by the extended Adomian decomposition method ⋮ Homotopy perturbation technique for solving two-point boundary value problems -- comparison with other methods ⋮ Solutions to the non-homogeneous parabolic problems by the extended HADM

Cites Work

• Noise terms in decomposition solution series
• A reliable modification of Adomian decomposition method
• Solving frontier problems of physics: the decomposition method
• Decomposition methods: A new proof of convergence
• Necessary conditions for the appearance of noise terms in decomposition solution series
• Solution of linear and nonlinear parabolic equations by the decomposition method
• Exact solutions for variable coefficients fourth-order parabolic partial differential equations in higher-dimensional spaces
• On numerical solutions of one-dimensional nonlinear Burgers' equation and convergence of the decomposition method
• A two-step Adomian decomposition method
• A new formulation of Adomian method
• Convergence of Adomian's Method
• The use of Adomian decomposition method for solving the one-dimensional parabolic equation with non-local boundary specifications
• A review of the decomposition method and some recent results for nonlinear equations

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