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Assessment of Heיs Homotopy Perturbation Method in Burgers and Coupled Burgersי Equations

Ghotbi Abdoul R. نويسنده , Avaei A نويسنده , Barari A نويسنده , Mohammadzade M.A نويسنده

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Various methods for finding explicit solution to nonlinear evolution equations have been proposed in this letter Homotopy Perturbation Method (HPM) is employed for solving Korteweg-de Vries-Burgeres (KdVB) equation and coupled Burgersי equations which both of them are very applicable in mathematics, physics and engineering. The final results obtained by means ofHPM are compared with those results obtained from the exact solution and the Adomian Decomposition Method (ADM). The comparison shows a precise agreement between the results and introduces this new method as an applicable one which it needs less computations and is much easier and more convenient than others, so it can be widely used in engineering too.

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