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

IF 0.6 Q3 MATHEMATICS Contemporary Mathematics Pub Date : 2023-10-24 DOI:10.37256/cm.4420232467
Kiran Dhirawat, Ramakanta Meher
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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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非线性偏微分方程的半解析同伦分析方法
本文提出了一种新的半解析方法——同伦分析法(HAM)来研究非线性气体动力学方程。将所得的HAM解与精确有效解进行比较,并与(Adomian分解法)ADM解和数值解进行比较,验证了所提方法的有效性。该方法的有效性可以用数值和图形来证明,并且发现它与现有方法非常吻合。
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CiteScore
0.60
自引率
33.30%
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0
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