International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Author

Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Iraq

Abstract

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.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 663-671
  • Receive Date: 11 August 2021
  • Revise Date: 16 September 2021
  • Accept Date: 23 September 2021