An efficient numerical method for solving coupled Burgers' equation by combining homotopy perturbation and Pade techniques

A Kelleci, A Yıldırım - Numerical Methods for Partial Differential …, 2011 - Wiley Online Library
Numerical Methods for Partial Differential Equations, 2011Wiley Online Library
In this study, we combined homotopy perturbation and Pade techniques for solving
homogeneous and inhomogeneous two‐dimensional parabolic equation. Also, we apply
our combined method for coupled Burgers' equations. The numerical results demonstrate
that our combined method gives the approximate solution with faster convergence rate and
higher accuracy than using the classic homotopy perturbation method.© 2010 Wiley
Periodicals, Inc. Numer Methods Partial Differential Eq 27: 982–995, 2011
Abstract
In this study, we combined homotopy perturbation and Pade techniques for solving homogeneous and inhomogeneous two‐dimensional parabolic equation. Also, we apply our combined method for coupled Burgers' equations. The numerical results demonstrate that our combined method gives the approximate solution with faster convergence rate and higher accuracy than using the classic homotopy perturbation method. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 982–995, 2011
Wiley Online Library
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