Series solution for porous medium equation with a source term by Adomian's decomposition method

DOI10.1016/j.amc.2005.11.063zbMath1142.76055OpenAlexW2059074755MaRDI QIDQ2507842

Nevin Pamuk

Publication date: 5 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.11.063

zbMATH Keywords

Cauchy problemnonlinear heat propagation

Mathematics Subject Classification ID

Related Items (4)

On the construction of a functional solution method for the infiltration in porous media problems ⋮ Homotopy perturbation method and He's polynomials for solving the porous media equation ⋮ Approximate analytic solutions for a two-dimensional mathematicalmodel of a packed-bed electrode using the Adomian decomposition method ⋮ Solution of the porous media equation by a compact finite difference method

Cites Work

• Solution of the porous media equation by Adomian's decomposition method
• Solving frontier problems of physics: the decomposition method
• Decomposition methods: A new proof of convergence
• The decomposition method for continuous population models for single and interacting species
• An application for linear and nonlinear heat equations by Adomian's decomposition method
• Localization for a porous medium type equation in high dimensions
• Unnamed Item

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