Design of a Computational Heuristic to Solve the Nonlinear Liénard Differential Model  

作　　者：Li Yan Zulqurnain Sabir Esin Ilhan Muhammad Asif Zahoor Raja WeiGao Haci Mehmet Baskonus 

机构地区：[1]School of Engineering,Honghe University,Mengzi,661199,China [2]Department of Mathematics and Statistics,Hazara University,Mansehra,21300,Pakistan [3]Faculty of Engineering and Architecture,Kirsehir Ahi Evran University,Kirsehir,40500,Turkey [4]Future Technology Research Center,National Yunlin University of Science and Technology,Yunlin,64002,Taiwan [5]School of Information Science and Technology,Yunnan Normal University,Kunming,650500,China [6]Department of Mathematics and Science Education,Faculty of Education,Harran University,Sanliurfa,63500,Turkey

出　　处：《Computer Modeling in Engineering & Sciences》2023年第7期201-221,共21页工程与科学中的计算机建模（英文）

摘　　要：In this study,the design of a computational heuristic based on the nonlinear Liénard model is presented using the efficiency of artificial neural networks(ANNs)along with the hybridization procedures of global and local search approaches.The global search genetic algorithm(GA)and local search sequential quadratic programming scheme(SQPS)are implemented to solve the nonlinear Liénard model.An objective function using the differential model and boundary conditions is designed and optimized by the hybrid computing strength of the GA-SQPS.The motivation of the ANN procedures along with GA-SQPS comes to present reliable,feasible and precise frameworks to tackle stiff and highly nonlinear differentialmodels.The designed procedures of ANNs along with GA-SQPS are applied for three highly nonlinear differential models.The achieved numerical outcomes on multiple trials using the designed procedures are compared to authenticate the correctness,viability and efficacy.Moreover,statistical performances based on different measures are also provided to check the reliability of the ANN along with GASQPS.

关 键 词：Nonlinear Liénard model numerical computing sequential quadratic programming scheme genetic algorithm statistical analysis artificial neural networks 

分 类 号：O153.3[理学—数学]