{"title":"用改进的Adomian分解法和Newton Raphson法求解积分方程","authors":"N. Ahmad, B. Singh","doi":"10.35940/ijitee.h9069.0610821","DOIUrl":null,"url":null,"abstract":"In this paper, we discuss the numerical solution of\nAdomian decomposition method and Taylor’s expansion method\nin Volterra linear integral equation. And we apply modified\nAdomian decomposition method and Newton Raphson method in\nVolterra nonlinear integral equation with the help of example and\nestimated an error in MATLAB 13 versions.","PeriodicalId":23601,"journal":{"name":"VOLUME-8 ISSUE-10, AUGUST 2019, REGULAR ISSUE","volume":"88 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical Solution of Integral Equation by using New Modified Adomian Decomposition\\nMethod and Newton Raphson Methods\",\"authors\":\"N. Ahmad, B. Singh\",\"doi\":\"10.35940/ijitee.h9069.0610821\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we discuss the numerical solution of\\nAdomian decomposition method and Taylor’s expansion method\\nin Volterra linear integral equation. And we apply modified\\nAdomian decomposition method and Newton Raphson method in\\nVolterra nonlinear integral equation with the help of example and\\nestimated an error in MATLAB 13 versions.\",\"PeriodicalId\":23601,\"journal\":{\"name\":\"VOLUME-8 ISSUE-10, AUGUST 2019, REGULAR ISSUE\",\"volume\":\"88 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"VOLUME-8 ISSUE-10, AUGUST 2019, REGULAR ISSUE\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.35940/ijitee.h9069.0610821\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"VOLUME-8 ISSUE-10, AUGUST 2019, REGULAR ISSUE","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.35940/ijitee.h9069.0610821","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical Solution of Integral Equation by using New Modified Adomian Decomposition
Method and Newton Raphson Methods
In this paper, we discuss the numerical solution of
Adomian decomposition method and Taylor’s expansion method
in Volterra linear integral equation. And we apply modified
Adomian decomposition method and Newton Raphson method in
Volterra nonlinear integral equation with the help of example and
estimated an error in MATLAB 13 versions.