Computational Mathematics and Computer Modeling with Applications (CMCMA)

Developing Chimp Optimization Algorithm for Function Estimation Tasks

https://doi.org/10.48308/CMCMA.2.1.34
Volume 2, Issue 1
June 2023
Pages 34-44
Computational Mathematics and Computer Modeling with Applications (CMCMA)

Document Type : Regular paper

Authors

Fatemeh Rooholamini 1
Alireza Afzal Aghaei 2
Seyed Mohammad Hossein Hasheminejad 3
Reza Azmi 3
Sarah Soltani 3

1 Department of Computer Engineering, Faculty of Engineering, Alzahra University, Tehran, Iran.

2 Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, G.C. Tehran, Iran

3 Department of Computer Engineering, Faculty of Engineering, Alzahra University, Tehran, Iran

Abstract
This paper presents a novel approach for tackling the Lane-Emden equation, a significant nonlinear differential equation of paramount importance in the realms of physics and astrophysics. We employ the Chimp optimization algorithm in conjunction with Chebyshev polynomials to devise an innovative solution strategy. Inspired by the behavioral patterns of chimpanzees, the Chimp algorithm is harnessed to optimize the Chebyshev polynomial approximations, thereby transforming the Lane-Emden equation into an unconstrained optimization problem. Our method's effectiveness is demonstrated through a series of numerical experiments, showcasing its capability to precisely solve the Lane-Emden equation across various polytropic indices.

Keywords

Metaheuristic algorithms
Chimp optimization algorithm
Lane-Emden differential equations
  • Receive Date 08 August 2023
  • Revise Date 07 September 2023
  • Accept Date 09 September 2023
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PDF Download 20,172

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