New Approach for Solving Three Dimensional Space Partial Differential Equation

Authors

Myasar Obaid Enadi, Department of Mathematics, College of Education for Pure Science Ibn Al-Haitham, University of Baghdad, Baghdad, IraqFollow
Luma Naji Mohammed Tawfiq, Department of Mathematics, College of Education for Pure Science Ibn Al-Haitham, University of Baghdad, Baghdad, Iraq.

Abstract

This paper presents a new transform method to solve partial differential equations, for finding suitableaccurate solutions in a wider domain. It can be used to solve the problems without resorting to the frequency domain. The new transform is combined with the homotopy perturbation method in order to solve three dimensional second order partial differential equations with initial condition, and the convergence of the solution to the exact form is proved. The implementation of the suggested method demonstrates the usefulness in finding exact solutions. The practical implications show the effectiveness of approach and it is easily implemented in finding exact solutions. Finally, all algorithms in this paper are implemented in MATLAB version 7.12.

Keywords

Convergence, Coupled two methods, Homotopy perturbation method, Partial differential equations, Transformation.

Article Type

Supplemental Issue

How to Cite this Article

Obaid Enadi, Myasar and Naji Mohammed Tawfiq, Luma (2019) "New Approach for Solving Three Dimensional Space Partial Differential Equation," Baghdad Science Journal: Vol. 16: Iss. 3, Article 34.
DOI: https://doi.org/10.21123/bsj.2019.16.3(Suppl.).0786