Solving High-order Non-linear Partial Differential Equations by Modified q-Homotopy Analysis Method Solving High-order Non-linear Partial Differential Equations by Modified q-Homotopy Analysis Method

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Shaheed N. Huseen

Abstract

In this paper, modified q-homotopy analysis method (mq-HAM) is proposed for solving high-order non-linear partial differential equations. This method improves the convergence of the series solution and overcomes the computing difficulty encountered in the q-HAM, so it is more accurate than nHAM which proposed in Hassan and El-Tawil, Saberi-Nik and Golchaman. The second- and third-order cases are solved as illustrative examples of the proposed method.

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Research Article

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