Ghassan A. Al-Juaifri, Anas Al-Haboobi, Jaafar M. Al-Ghabban
{"title":"用wolfram-mathematica编程变分迭代法求解多阶微分方程","authors":"Ghassan A. Al-Juaifri, Anas Al-Haboobi, Jaafar M. Al-Ghabban","doi":"10.12732/ijam.v32i5.6","DOIUrl":null,"url":null,"abstract":"In this study, we have studied the multi-order differential equations. The model we have followed agrees with initial value problem which, in its turn, has a group of linear ordinary differential equations. This paper’s aim is programming a Variational Iteration Method (VIM) using Wolfram’s Mathematica. Variational Iteration Method offers a study that introduce approximated solutions of the multi-order ordinary differential equations. Several examples of different order have been resolved. AMS Subject Classification: 12H20, 35A15, 34A30, 34A34","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"39 1","pages":"785"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"PROGRAMMING VARIATIONAL ITERATION METHOD VIA WOLFRAM-MATHEMATICA FOR SOLVING MULTI-ORDER DIFFERENTIAL EQUATIONS\",\"authors\":\"Ghassan A. Al-Juaifri, Anas Al-Haboobi, Jaafar M. Al-Ghabban\",\"doi\":\"10.12732/ijam.v32i5.6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, we have studied the multi-order differential equations. The model we have followed agrees with initial value problem which, in its turn, has a group of linear ordinary differential equations. This paper’s aim is programming a Variational Iteration Method (VIM) using Wolfram’s Mathematica. Variational Iteration Method offers a study that introduce approximated solutions of the multi-order ordinary differential equations. Several examples of different order have been resolved. AMS Subject Classification: 12H20, 35A15, 34A30, 34A34\",\"PeriodicalId\":14365,\"journal\":{\"name\":\"International journal of pure and applied mathematics\",\"volume\":\"39 1\",\"pages\":\"785\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-12-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International journal of pure and applied mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12732/ijam.v32i5.6\",\"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 pure and applied mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/ijam.v32i5.6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
PROGRAMMING VARIATIONAL ITERATION METHOD VIA WOLFRAM-MATHEMATICA FOR SOLVING MULTI-ORDER DIFFERENTIAL EQUATIONS
In this study, we have studied the multi-order differential equations. The model we have followed agrees with initial value problem which, in its turn, has a group of linear ordinary differential equations. This paper’s aim is programming a Variational Iteration Method (VIM) using Wolfram’s Mathematica. Variational Iteration Method offers a study that introduce approximated solutions of the multi-order ordinary differential equations. Several examples of different order have been resolved. AMS Subject Classification: 12H20, 35A15, 34A30, 34A34
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