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

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.


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
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