{"title":"线性和非线性三阶分数阶微分方程的Daftar-Gejii-Jafaris方法","authors":"Mahmut Modanlı","doi":"10.22436/MNS.04.01.03","DOIUrl":null,"url":null,"abstract":"Numerical solution of the third order fractional differential equation is obtained by using DGJ (Daftardar-GejiiJafaris) method. Providing DGJ method converges, it is shown that obtained approximate solution is effective which is close to the exact solution or the exact solution. An example explained this method is presented. The proposed method is implemented for the approximation solution of the third order nonlinear fractional partial differential equations. An example which shows the method is unsuitable and inconsistent is given.","PeriodicalId":443718,"journal":{"name":"Mathematics in Natural Science","volume":"103 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Daftar-Gejii-Jafaris method for linear and nonlinear third order fractional differential equation\",\"authors\":\"Mahmut Modanlı\",\"doi\":\"10.22436/MNS.04.01.03\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Numerical solution of the third order fractional differential equation is obtained by using DGJ (Daftardar-GejiiJafaris) method. Providing DGJ method converges, it is shown that obtained approximate solution is effective which is close to the exact solution or the exact solution. An example explained this method is presented. The proposed method is implemented for the approximation solution of the third order nonlinear fractional partial differential equations. An example which shows the method is unsuitable and inconsistent is given.\",\"PeriodicalId\":443718,\"journal\":{\"name\":\"Mathematics in Natural Science\",\"volume\":\"103 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-08-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics in Natural Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22436/MNS.04.01.03\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics in Natural Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22436/MNS.04.01.03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Daftar-Gejii-Jafaris method for linear and nonlinear third order fractional differential equation
Numerical solution of the third order fractional differential equation is obtained by using DGJ (Daftardar-GejiiJafaris) method. Providing DGJ method converges, it is shown that obtained approximate solution is effective which is close to the exact solution or the exact solution. An example explained this method is presented. The proposed method is implemented for the approximation solution of the third order nonlinear fractional partial differential equations. An example which shows the method is unsuitable and inconsistent is given.