Homotopy analysis method for solving the coupled differential equations: A comparative study

J. Vahidi ()
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J. Vahidi: Department of Computer Science, Iran University of Science and Technology, Tehran, Iran

International Journal of Modern Physics C (IJMPC), 2024, vol. 35, issue 12, 1-10

Abstract: In this paper, the application of the HAM-Padé technique for solving a system of differential equations is investigated. This method is a combination of the homotopy analysis method (HAM) and Padé approximation. The equations under consideration are the governing equations of an important physical problem that is also widely used in engineering. This study is a comparative research so that after solving the equations, the solutions obtained from the HAM-Padé method will be compared with the outcomes of the three previous studies. The comparison showed that the HAM-Padé solutions have an interesting agreement with the previous works and have good accuracy.

Keywords: Homotopy analysis method; computational study; differential equations; physical analysis; Padé approximation (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0129183124501560

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