{"title":"用Adomian分解法求解常微分方程","authors":"E. Ziada","doi":"10.21608/njbs.2022.277266","DOIUrl":null,"url":null,"abstract":"In this paper, we apply the Adomian decomposition method (ADM) for solving linear and nonlinear ordinary differential equations (ODEs). The existence and uniqueness of the solution are proved. The convergence of the series solution and the error analysis are discussed. Some applications are solved such as relaxation-oscillation equation.","PeriodicalId":210317,"journal":{"name":"Nile Journal of Basic Science","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Solution of Ordinary Differential Equations Using Adomian Decomposition Method\",\"authors\":\"E. Ziada\",\"doi\":\"10.21608/njbs.2022.277266\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we apply the Adomian decomposition method (ADM) for solving linear and nonlinear ordinary differential equations (ODEs). The existence and uniqueness of the solution are proved. The convergence of the series solution and the error analysis are discussed. Some applications are solved such as relaxation-oscillation equation.\",\"PeriodicalId\":210317,\"journal\":{\"name\":\"Nile Journal of Basic Science\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nile Journal of Basic Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21608/njbs.2022.277266\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nile Journal of Basic Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21608/njbs.2022.277266","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solution of Ordinary Differential Equations Using Adomian Decomposition Method
In this paper, we apply the Adomian decomposition method (ADM) for solving linear and nonlinear ordinary differential equations (ODEs). The existence and uniqueness of the solution are proved. The convergence of the series solution and the error analysis are discussed. Some applications are solved such as relaxation-oscillation equation.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
