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An approximate method for solving MHD boundary layer flow over a stretching sheet with Joule heating and convective thermal condition

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  • M. M. Khader

    (Department of Mathematics and Statistics, College of Science, Imam Mohammad, Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia†Faculty of Science, Department of Mathematics, Benha University, Benha, Egypt)

  • M. M. Babatin

    (Department of Mathematics and Statistics, College of Science, Imam Mohammad, Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia)

Abstract

In this paper, He’s homotopy perturbation method (HPM) is used, which is an approximate analytical method for solving numerically the problem of Newtonian fluid flow past a porous exponentially stretching sheet with Joule heating and convective boundary condition. The major feature of HPM is that it does not need the small parameters in the equations and hence the determination of classical perturbation can be discarded. Due to the complete efficiency of the HPM, it becomes practically well suited for use in this field of study. Also, the obtained solutions for both the velocity and temperature field are graphically sketched. The results reveal that the proposed method is very effective, convenient, and quite accurate to systems of nonlinear differential equations. Results of this study shed light on the accuracy and efficiency of the HPM in solving these types of nonlinear boundary layer equations.

Suggested Citation

  • M. M. Khader & M. M. Babatin, 2022. "An approximate method for solving MHD boundary layer flow over a stretching sheet with Joule heating and convective thermal condition," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 33(02), pages 1-10, February.
    • Handle: RePEc:wsi:ijmpcx:v:33:y:2022:i:02:n:s0129183122500243
    DOI: 10.1142/S0129183122500243
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