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Algorithm Research & Explore
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App. Res. of Comp. Printed Article
Vol. 36, 2019 No. 5
1305-1310

Multimodal multi-objective differential evolution algorithm for solving nonlinear equations

Xu Weiwei1
Liang Jing1
Yue Caitong1
Qu Boyang2
1. School of Electrical Engineering, Zhengzhou University, Zhengzhou 450001, China
2. School of Electronic & Information Engineering, Zhongyuan University of Technology, Zhengzhou 450007, China
DOI: 10.19734/j.issn.1001-3695.2017.11.0734

Abstract

Aiming at the problems such as incomplete solutions, low accuracy and slow convergence speed of current algorithms in solving nonlinear equations, this paper proposed a multimodal multi-objective differential evolution algorithm. Firstly, it transformed the nonlinear equations into multimodal multi-objective optimization problems, and initialized a random population and evaluated all individuals in the population. Through the non-dominated sorting and decision space crowding distance selection mechanism, it selected half of the individuals in the population to mutate. Then it used a new mutation strategy and boundary processing method to increase the diversity of solutions. Finally, it evolved the high-quality individuals through crossover and selection mechanism until it found all the optimal solutions. The experimental results on selected test function sets and engineering examples show that the algorithm can effectively search for optimal solutions and it is superior to the other four algorithms in the number of solutions and success rate.

Foundation Support

国家自然科学基金资助项目(61473266,61673404)
河南省高校优秀青年教师研究奖励基金资助项目(2014GGJS-004)
河南省大学创新人才科技计划资助项目(16HASTIT041)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2017.11.0734
Publish at: Application Research of Computers Printed Article, Vol. 36, 2019 No. 5
Section: Algorithm Research & Explore
Pages: 1305-1310
Serial Number: 1001-3695(2019)05-006-1305-06

Publish History

[2019-05-05] Printed Article

Cite This Article

许伟伟, 梁静, 岳彩通, 等. 多模态多目标差分进化算法求解非线性方程组 [J]. 计算机应用研究, 2019, 36 (5): 1305-1310. (Xu Weiwei, Liang Jing, Yue Caitong, et al. Multimodal multi-objective differential evolution algorithm for solving nonlinear equations [J]. Application Research of Computers, 2019, 36 (5): 1305-1310. )

About the Journal

  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

Application Research of Computers has many high-level readers and authors, and its readers are mainly senior and middle-level researchers and engineers engaged in the field of computer science, as well as teachers and students majoring in computer science and related majors in colleges and universities. Over the years, the total citation frequency and Web download rate of Application Research of Computers have been ranked among the top of similar academic journals in this discipline, and the academic papers published are highly popular among the readers for their novelty, academics, foresight, orientation and practicality.

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