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

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

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Journal Paper

Paper Information

Journal: THE JOURNAL OF COMPUTATIONAL APPLIED MECHANICS Year:621 | Volume: | Issue: Page(s): 204-218

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Information Journal Paper

Title

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

Author(s)

Hasan Maysoon H. | J. Ali Al Saif Abdul Sattar | Issue Writer Certificate

Keywords

q-Homotopy analysis methodQ4

Laplace transformQ4

Padé approximationQ4

MHDQ4

boundary layerQ4

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.

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