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Zbl 1038.65103
Wazwaz, Abdul-Majid; Gorguis, Alice
Exact solutions for heat-like and wave-like equations with variable coefficients. (English)
[J] Appl. Math. Comput. 149, No. 1, 15-29 (2004). ISSN 0096-3003

Summary: The Adomian decomposition method is presented for solving heat-like and wave-like models with variable coefficients. The method is demonstrated for a variety of problems in one and higher dimensional spaces where exact solutions are obtained. The results obtained in all cases show the reliability and the efficiency of this method.

MSC 2000:: *65M70 Spectral, collocation and related methods (IVP of PDE)
35K15 Second order parabolic equations, initial value problems
35L15 Second order hyperbolic equations, initial value problems

Keywords: Adomian decomposition method; Heat-like equations; Wave-like equations; Numerical examples

Cited in: Zbl 1142.65420 Zbl 1093.65095

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Zentralblatt MATH Berlin [Germany]