Applications of q-Homotopy analysis with Laplace Transform and Pade´ approximate method for Solving Magneto Hydrodynamic boundary-layer equations.

Hasan, Maysoon H.; J. Ali Al-Saif, Abdul-Sattar

doi:10.22059/jcamech.2023.353411.790

Applications of q-Homotopy analysis with Laplace Transform and Pade´ approximate method for Solving Magneto Hydrodynamic boundary-layer equations.

Document Type : Research Paper

Authors

Maysoon H. Hasan ¹
Abdul-Sattar J. Ali Al-Saif ¹^{, 2}

¹ Department of Mathematics; College of Education for Pure Science; Basrah University, Basrah, Iraq.

² Maysan Education Directorate; Maysan, Iraq.

10.22059/jcamech.2023.353411.790

Abstract

In this paper, we propose a new technique for solving the magnetic hydrodynamic boundary layer equations after converting them to a nonlinear ordinary differential equation using the appropriate similarity transformation. This technique is based on a combination of the q-homotopy analysis method, the Laplace transform, and the Pade´ approximation, named (q-HALPM). To ensure the method's efficiency, we compared the results of q-HALPM with the ones obtained by methods (DTM-Pade´) and M-HPM . Additionally, the effect of the magnetic parameter on the velocity and heat transfer was studied. The results confirm that the new method has high accuracy and efficiency in finding the approximate analytical solution for the current problem. Moreover, the graphs of the new solutions show the validity and usefulness of the proposed method.

Keywords

Main Subjects

Analysis of non-linear systems

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Journal of Computational Applied Mechanics

Volume 54, Issue 2
June 2023
Pages 204-218

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Journal of Computational Applied Mechanics

Applications of q-Homotopy analysis with Laplace Transform and Pade´ approximate method for Solving Magneto Hydrodynamic boundary-layer equations.

Volume 54, Issue 2June 2023Pages 204-218

Volume 54, Issue 2
June 2023
Pages 204-218