Homotopy Analysis Method for Solving System of Non-Linear Partial Differential Equations

Authors

Naveed Imran, Department of Mathematics, HITEC College, Taxila Cantt. PakistanFollow
Raja Mehmood Khan, Department of Mathematics, HITEC College, Taxila Cantt. PakistanFollow

Corresponding Author

Naveed Imran

Authors ORCID

https://orcid.org/0000-0003-2887-1097

Document Type

Research Article

Subject Areas

Applied Mathematics and Computations

Keywords

System of non-linear partial differential equations, Homotopy Analysis Method

Abstract

This paper applies Homotopy Analysis Method (HAM) to obtain analytical solutions of system of non-linear partial differential equations. Numerical results clearly reflect complete compatibility of the proposed algorithm and discussed problems. Moreover, the validity of the present solution and suggested scheme is presented and the limiting case of presented findings is in excellent agreement with the available literature. The computed solution of the physical variables against the influential parameters is presented through graphs. Several examples are presented to show the efficiency and simplicity of the method.

How to Cite This Article

Imran, Naveed and Mehmood Khan, Raja (2022) "Homotopy Analysis Method for Solving System of Non-Linear Partial Differential Equations," International Journal of Emerging Multidisciplinaries: Mathematics: Vol. 1: Iss. 2, Article 6.
DOI: https://doi.org/10.54938/ijemdm.2022.01.2.30

Receive Date

2022-01-21 05:31:50

Publication Date

5-14-2022