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Numerical study of homotopy‐perturbation method applied to Burgers equation in fluid
Author(s) -
Ganji D.D.,
Ganji S.S.,
Karimpour S.,
Ganji Z.Z.
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.20464
Subject(s) - mathematics , homotopy perturbation method , homotopy analysis method , nonlinear system , burgers' equation , partial differential equation , perturbation (astronomy) , mathematical analysis , exact solutions in general relativity , numerical analysis , homotopy , pure mathematics , physics , quantum mechanics
Abstract In this article, the problem of Burgers equation is presented and the homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem. Comparison is made between the HPM and Exact solutions. The obtained solutions, in comparison with the exact solutions, admit a remarkable accuracy. A clear conclusion can be drawn from the numerical results that the HPM provides highly accurate numerical solutions for nonlinear differential equations. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010