Solving partial differential equations via a hybrid method between homotopy analytical method and Harris hawks optimization algorithm

	Solving partial differential equations via a hybrid method between homotopy analytical method and Harris hawks optimization algorithm
International Journal of Nonlinear Analysis and Applications
مقاله 52، دوره 13، شماره 1، خرداد 2022، صفحه 663-671 اصل مقاله (411.99 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5555
نویسنده
Abeer Abdulkhaleq Ahmad^*
Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Iraq
چکیده
In this article, a modern analytical technique called Homotopy Analysis Method (HAM) has been applied to several partial differential equations to obtain their sequential solution. The performance of the method was analysed on partial differential equations and found to be computationally efficient. The homotopy analysis method (HAM) has been found to be effective. The numerical results have been improved by proposing a new technique that combines the numerical method with the Harris Hawks Optimization algorithm. The current numerical results are compared to the exact solutions and it's found to be in very good results.
کلیدواژه‌ها
homotopy analytical method؛ Harris hawks optimization algorithm؛ partial differential equations
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