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

Document Type : Research Paper


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

2 Maysan Education Directorate; Maysan, Iraq.


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.


Main Subjects

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Volume 54, Issue 2
June 2023
Pages 204-218
  • Receive Date: 03 January 2023
  • Revise Date: 20 February 2023
  • Accept Date: 20 February 2023