Semi-analytical Approach to Nonlinear Partial Differential Equations Using Homotopy Analysis Technique (HAM)

Authors

  • Kiran Dhirawat Department of Mathematics, Sardar Vallabhbhai National Institute of Technology, Surat-395007, Gujarat, India https://orcid.org/0000-0001-8626-1970 (unauthenticated)
  • Ramakanta Meher Department of Mathematics, Sardar Vallabhbhai National Institute of Technology, Surat-395007, Gujarat, India

DOI:

https://doi.org/10.37256/cm.4420232467

Keywords:

semi-analytical method, gas dynamic equation, nonlinear partial differential equation, homotopy analysis method (HAM)

Abstract

This work considers a novel semi-analytical method named the homotopy analysis method (HAM) to study the nonlinear gas dynamic equation. The obtained HAM solution is validated by comparing it with the exact available solution and compared with the (Adomian decomposition method) ADM solution and numerical solution to test the efficiency of the proposed method. The efficiency of the proposed approach can be demonstrated numerically and graphically, and it is found to be in excellent agreement with the current approach.

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Published

2023-10-24

Issue

Contemporary Mathematics, Volume 4 Issue 4 (2023), 620-1346

Section

Research Article

How to Cite

1.
Semi-analytical Approach to Nonlinear Partial Differential Equations Using Homotopy Analysis Technique (HAM). Contemp. Math. [Internet]. 2023 Oct. 24 [cited 2025 Dec. 24];4(4):721-32. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/2467