Exact solutions for heat-like and wave-like equations with variable coefficients. (English) Zbl 1038.65103

Wazwaz, Abdul-Majid; Gorguis, Alice

Appl. Math. Comput. 149, No. 1, 15-29 (2004).

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:

65M70	Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35K15	Initial value problems for second-order parabolic equations
35L15	Initial value problems for second-order hyperbolic equations

Keywords:

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

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