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He's homotopy perturbation method for solving Korteweg‐de Vries Burgers equation with initial condition
Author(s) -
Inc Mustafa
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.20489
Subject(s) - mathematics , homotopy perturbation method , korteweg–de vries equation , perturbation (astronomy) , mathematical analysis , homotopy analysis method , partial differential equation , burgers' equation , boundary value problem , simple (philosophy) , homotopy , nonlinear system , pure mathematics , physics , philosophy , epistemology , quantum mechanics
In this article, we present the Homotopy Perturbation Method (Shortly HPM) for obtaining the numerical solutions of the Korteweg‐de Vries Burgers (KdVB) equation. The series solutions are developed and the reccurance relations are given explicity. The initial approximation can be freely chosen with possibly unknown constants which can be determined by imposing the boundary and initial conditions. The results reveal that HPM is very simple and effective. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010