{"title":"用遗传算法和Nelder-Mead方法求解悬索桥模型的积分-微分方程","authors":"Ahmed Zeeshan , M. Atlas","doi":"10.1016/j.jaubas.2017.05.003","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, a fourth order integro-differential arising in the modeling of suspension bridge. A hybrid Genetic Algorithm (GA) and Nelder-Mead (NM) optimization technique is employed along with collocation finite element method and Optimal Homotopic Asymptotic Method. The solutions are compared with existing solutions. A excellent comparison is obtain results are shown, graphs and tables are shown.</p></div>","PeriodicalId":17232,"journal":{"name":"Journal of the Association of Arab Universities for Basic and Applied Sciences","volume":"24 ","pages":"Pages 310-314"},"PeriodicalIF":0.0000,"publicationDate":"2017-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jaubas.2017.05.003","citationCount":"6","resultStr":"{\"title\":\"Optimal solution of integro-differential equation of Suspension Bridge Model using Genetic Algorithm and Nelder-Mead method\",\"authors\":\"Ahmed Zeeshan , M. Atlas\",\"doi\":\"10.1016/j.jaubas.2017.05.003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, a fourth order integro-differential arising in the modeling of suspension bridge. A hybrid Genetic Algorithm (GA) and Nelder-Mead (NM) optimization technique is employed along with collocation finite element method and Optimal Homotopic Asymptotic Method. The solutions are compared with existing solutions. A excellent comparison is obtain results are shown, graphs and tables are shown.</p></div>\",\"PeriodicalId\":17232,\"journal\":{\"name\":\"Journal of the Association of Arab Universities for Basic and Applied Sciences\",\"volume\":\"24 \",\"pages\":\"Pages 310-314\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.jaubas.2017.05.003\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Association of Arab Universities for Basic and Applied Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1815385217300342\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Association of Arab Universities for Basic and Applied Sciences","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1815385217300342","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimal solution of integro-differential equation of Suspension Bridge Model using Genetic Algorithm and Nelder-Mead method
In this paper, a fourth order integro-differential arising in the modeling of suspension bridge. A hybrid Genetic Algorithm (GA) and Nelder-Mead (NM) optimization technique is employed along with collocation finite element method and Optimal Homotopic Asymptotic Method. The solutions are compared with existing solutions. A excellent comparison is obtain results are shown, graphs and tables are shown.
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