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Solution of the porous media equation by Adomian’s decomposition method. (English) Zbl 1194.65148

Summary: The particular exact solutions of the porous media equation that usually occurs in nonlinear problems of heat and mass transfer, and in biological systems are obtained using Adomian’s decomposition method. Also, numerical comparison of particular solutions in the decomposition method indicate that there is a very good agreement between the numerical solutions and particular exact solutions in terms of efficiency and accuracy.

MSC:

65N99 Numerical methods for partial differential equations, boundary value problems
35K57 Reaction-diffusion equations
76S05 Flows in porous media; filtration; seepage
80A20 Heat and mass transfer, heat flow (MSC2010)
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