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The homotopy analysis method for solving higher dimensional initial boundary value problems of variable coefficients. (English) Zbl 1197.65151
Summary: Higher dimensional initial boundary value problems with variable coefficients are solved by means of an analytic technique, namely the homotopy analysis method. Comparisons are made between the Adomian decomposition method, the exact solution and the homotopy analysis method. The results reveal that the proposed method is very effective and simple.

MSC:
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35Q53 KdV equations (Korteweg-de Vries equations)
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