{"title":"用Laplace adomian分解法求解volterra非线性积分方程","authors":"N. Ahmad, B. Singh","doi":"10.12732/ijam.v35i1.3","DOIUrl":null,"url":null,"abstract":"In this paper we introduce a new approach for numerical solution of nonlinear Volterra integral equation of second kinds. This numerical solution is based on the Laplace transform and Adomian Decomposition Method by using He’s polynomials. Then comparative study is made on the exact solution, approximate solution and estimated error. All calculations are made by Matlab 13 Version and illustrated by example. AMS Subject Classification: 44A30, 45D05, 49M27, 65R10","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"47 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"NUMERICAL SOLUTION OF VOLTERRA NONLINEAR INTEGRAL EQUATION BY USING LAPLACE ADOMIAN DECOMPOSITION METHOD\",\"authors\":\"N. Ahmad, B. Singh\",\"doi\":\"10.12732/ijam.v35i1.3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we introduce a new approach for numerical solution of nonlinear Volterra integral equation of second kinds. This numerical solution is based on the Laplace transform and Adomian Decomposition Method by using He’s polynomials. Then comparative study is made on the exact solution, approximate solution and estimated error. All calculations are made by Matlab 13 Version and illustrated by example. AMS Subject Classification: 44A30, 45D05, 49M27, 65R10\",\"PeriodicalId\":312472,\"journal\":{\"name\":\"International Journal of Apllied Mathematics\",\"volume\":\"47 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Apllied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12732/ijam.v35i1.3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Apllied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/ijam.v35i1.3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
NUMERICAL SOLUTION OF VOLTERRA NONLINEAR INTEGRAL EQUATION BY USING LAPLACE ADOMIAN DECOMPOSITION METHOD
In this paper we introduce a new approach for numerical solution of nonlinear Volterra integral equation of second kinds. This numerical solution is based on the Laplace transform and Adomian Decomposition Method by using He’s polynomials. Then comparative study is made on the exact solution, approximate solution and estimated error. All calculations are made by Matlab 13 Version and illustrated by example. AMS Subject Classification: 44A30, 45D05, 49M27, 65R10
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