Modified differential evolution to solve systems of nonlinear equations

Pooja Tiwari (), Vishnu Narayan Mishra and Raghav Prasad Parouha
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Pooja Tiwari: Indira Gandhi National Tribal University
Vishnu Narayan Mishra: Indira Gandhi National Tribal University
Raghav Prasad Parouha: Indira Gandhi National Tribal University

OPSEARCH, 2024, vol. 61, issue 4, No 11, 1968-2001

Abstract: Abstract Solving systems of nonlinear equations (NESs) is a significant and challenging task in the field of sciences and engineering. This article proposes a modified differential evolution (MDE) to solve the NESs problem. Using principle of the particle swarm optimization, it employed novel mutation structure with modernistic control factors, to heighten exploration and exploitation activities. Correspondingly, a different crossover rate is presented in MDE, to enrich the convergence rapidity. Lastly, a new selection system is familiarized in MDE, to estimate diversity and evade from the local minimum. To certify the performance of MDE, thirteen typical benchmark test suites are solved. Additionally, optimize the seven cases of NESs, to prove the applicability of MDE. The experimental and comparative outcomes indicate that the suggested MDE performs more effectively on complex test functions and NESs.

Keywords: Nonlinear equations systems; Metaheuristic algorithm; Differential evolution; Mutation strategy; Convergence accuracy (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s12597-024-00763-3

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