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The homotopy analysis method for solving higher dimensional initial boundary value problems of variable coefficients
Author(s) -
Jafari H.,
Saeidy M.,
Firoozjaee M. A.
Publication year - 2010
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20471
Subject(s) - adomian decomposition method , mathematics , homotopy analysis method , variable (mathematics) , homotopy perturbation method , boundary value problem , homotopy , decomposition method (queueing theory) , simple (philosophy) , mathematical analysis , decomposition , boundary values , partial differential equation , pure mathematics , statistics , ecology , philosophy , epistemology , biology
Abstract In this article, higher dimensional initial boundary value problems of variable coefficients are solved by means of an analytic technique, namely the Homotopy analysis method (HAM). Comparisons are made between the Adomian decomposition method (ADM), the exact solution and the homotopy analysis method. The results reveal that the proposed method is very effective and simple. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010