Solutions to the non-homogeneous parabolic problems by the extended HADM

DOI10.1016/j.amc.2007.02.132zbMath1193.65182OpenAlexW1997862952MaRDI QIDQ990461

Bongsoo Jang

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.132

zbMATH Keywords

non-homogeneous parabolic equationhomogeneous decomposition method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Solutions to PDEs in closed form (35C05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (4)

Solving linear and nonlinear initial value problems by the projected differential transform method ⋮ Two-point boundary value problems by the extended Adomian decomposition method ⋮ Another way of solving a free boundary problem related to DCIS model ⋮ Approximate analytic solutions for a two-dimensional mathematicalmodel of a packed-bed electrode using the Adomian decomposition method

Cites Work

• Exact solutions to one dimensional non-homogeneous parabolic problems by the homogeneous Adomian decomposition method
• Noise terms in decomposition solution series
• A reliable modification of Adomian decomposition method
• Solving frontier problems of physics: the decomposition method
• The modified decomposition method for analytic treatment of differential equations
• A two-step Adomian decomposition method
• Decomposition method for solving parabolic equations in finite domains
• Convergence of Adomian's Method
• New numerical study of Adomian method applied to a diffusion model
• A review of the decomposition method and some recent results for nonlinear equations

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