Proceedings of The 5th Annual International Seminar on Trends in Science and Science Education, AISTSSE 2018, 18-19 October 2018, Medan, Indonesia

Research Article

Modification of Species-Based Differential Evolution for Finding All Solutions of Systems of Nonlinear Equations

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  • @INPROCEEDINGS{10.4108/eai.18-10-2018.2287372,
        author={Said  Iskandar and Didi  Febrian and Faridawaty  Marpaung and Ayu  Adela},
        title={Modification of Species-Based Differential Evolution for Finding All Solutions of Systems of Nonlinear Equations},
        proceedings={Proceedings of The 5th Annual International Seminar on Trends in Science and Science Education, AISTSSE 2018, 18-19 October 2018, Medan, Indonesia},
        publisher={EAI},
        proceedings_a={AISTSSE},
        year={2019},
        month={10},
        keywords={differential evolution species-based nonlinier equations},
        doi={10.4108/eai.18-10-2018.2287372}
    }
    
  • Said Iskandar
    Didi Febrian
    Faridawaty Marpaung
    Ayu Adela
    Year: 2019
    Modification of Species-Based Differential Evolution for Finding All Solutions of Systems of Nonlinear Equations
    AISTSSE
    EAI
    DOI: 10.4108/eai.18-10-2018.2287372
Said Iskandar1,*, Didi Febrian1, Faridawaty Marpaung1, Ayu Adela1
  • 1: Department of Mathematics, Faculty of Mathematics and Natural Sciences,State University of Medan
*Contact email: saidiskandar@unimed.ac.id

Abstract

Nowadays the root finding problem for nonlinear system equations is still one of the difficult problems in computational sciences. Many attempts using deterministic and meta-heuristic methods have been done with their advantages and disadvantages, but many of them have fail to converge to all possible roots.Differential Evolution (DE), a random search techniques using vector as an alternative solution in the search for finding all ofthe real roots from the system of nonlinear equations. Species-based is one of the methods niching the building sub-populations or species in the area with species-seed functions as its center. This study will describe the modification of existing species-based previously to reduce the computational complexity and run more efficiently. The results of the test function shows species-based modifications can localize all potential roots with one running the program