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

Authors

  • Shaheed N. Huseen

DOI:

https://doi.org/10.22377/ajms.v4i2.274

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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Published

2020-08-21

Issue

Vol. 4 No. 2 (2020): Asian Journal of Mathematical Sciences

Section

Research Article

License

This is an Open Access article distributed under the terms of the Attribution-Noncommercial 4.0 International License [CC BY-NC 4.0], which requires that reusers give credit to the creator. It allows reusers to distribute, remix, adapt, and build upon the material in any medium or format, for noncommercial purposes only.