On Solving Partial Differential Equations by a Coupling of the Homotopy Perturbation Method and a New Integral Transform

Authors

Inas A. A., Faculty of Science, Omar Al-Mukhtar University, LibyaFollow
E. E. Eladdad, Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In this work, we use a combination between a new integral transform and the homotopy perturbation method. This combination presents an accurate methodology to obtain an exact and numerical solutions for linear and nonlinear partial differential equations. The aim of using this new integral transform is to overcome the deficiency. It is mainly caused by unsatisfied conditions in the other semi-analytical methods such as HPM, VIM, and ADM. More than, this new method appears more applicable, it needs fewer computations. As in the provided numerical example, this method can be used in engineering computations.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160106

Recommended Citation

A. A., Inas and E. Eladdad, E. (2022) "On Solving Partial Differential Equations by a Coupling of the Homotopy Perturbation Method and a New Integral Transform," Applied Mathematics & Information Sciences: Vol. 16: Iss. 1, Article 6.
DOI: http://dx.doi.org/10.18576/amis/160106
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss1/6