{"title":"参数化微分变换方法及其在边值传递问题中的应用","authors":"M. Yücel, F. Muhtarov","doi":"10.53433/yyufbed.1143699","DOIUrl":null,"url":null,"abstract":"In this study, we developed a new modification of the well-known differential transformation method (DTM) that differs from the classical one by the algorithm for calculating the coefficients of an approximate solution given as a series. The proposed new algorithm we will call α-parameterized DTM (α-P DTM,for short). By using the proposed α-DTM we solve the boundary value transmission problem for the 3rd order differential equation. For the same problem, an approximate solution is found using also the classical DTM. The solutions obtained were compared graphically.","PeriodicalId":386555,"journal":{"name":"Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Parameterized Differential Transform Method and its Application to Boundary Value Transmission Problems\",\"authors\":\"M. Yücel, F. Muhtarov\",\"doi\":\"10.53433/yyufbed.1143699\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, we developed a new modification of the well-known differential transformation method (DTM) that differs from the classical one by the algorithm for calculating the coefficients of an approximate solution given as a series. The proposed new algorithm we will call α-parameterized DTM (α-P DTM,for short). By using the proposed α-DTM we solve the boundary value transmission problem for the 3rd order differential equation. For the same problem, an approximate solution is found using also the classical DTM. The solutions obtained were compared graphically.\",\"PeriodicalId\":386555,\"journal\":{\"name\":\"Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-03-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.53433/yyufbed.1143699\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.53433/yyufbed.1143699","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Parameterized Differential Transform Method and its Application to Boundary Value Transmission Problems
In this study, we developed a new modification of the well-known differential transformation method (DTM) that differs from the classical one by the algorithm for calculating the coefficients of an approximate solution given as a series. The proposed new algorithm we will call α-parameterized DTM (α-P DTM,for short). By using the proposed α-DTM we solve the boundary value transmission problem for the 3rd order differential equation. For the same problem, an approximate solution is found using also the classical DTM. The solutions obtained were compared graphically.