4.7 Article

Applications of new hybrid algorithm based on advanced cuckoo search and adaptive Gaussian quantum behaved particle swarm optimization in solving ordinary differential equations

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EXPERT SYSTEMS WITH APPLICATIONS
卷 172, 期 -, 页码 -

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.eswa.2021.114646

关键词

Hybrid algorithm; AGQPSO; Cuckoo search algorithm; Differential equations

资金

  1. CSIR, New Delhi, India [09/025 (0257)/2018-EMR-I]

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This paper proposes a hybrid algorithm based on the modified CS algorithm and AGQPSO algorithm to solve differential equations problems. By transforming the differential equations problems into optimization problems and optimizing the algorithms accordingly, the algorithm has been successfully applied to multiple benchmark problems and first-order, second-order initial value problems, and boundary value problems.
This article solves first and second order differential equations with initial and/or boundary conditions by transforming these equations into unconstrained/bound constrained optimization problems. In order to solve these problems, a hybrid algorithm based on advanced cuckoo search (CS) algorithm and adaptive Gaussian quantum behaved particle swarm optimization (AGQPSO) is proposed. The CS algorithm is modified first by changing the step size in the simplified version. After that half of the total population is upgraded by this modified CS algorithm and another half is upgraded by AGQPSO algorithm. Then deletion strategy of CS algorithm is applied on the whole updated population. Next, to test the performance of the proposed hybrid algorithm, a number of benchmarks bound constrained optimization problems with different dimensions are considered and solved. Then this algorithm is applied fruitfully in first and second order initial value problems and boundary value problems by expressing the said problems in the form of bound constrained optimization problems.

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