An efficient numerical method for solving coupled Burgers' equation by combining homotopy perturbation and pade techniques |
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Authors: | Alev Kelleci Ahmet Yıldırım |
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Institution: | 1. Department of Mathematics, Ege University, Bornova, &0130;2. zmir 35100, Turkey |
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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 |
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Keywords: | coupled Burgers' equations homotopy perturbation method pade technique two‐dimensional parabolic equation |
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