{"title":"用泰勒矩阵法求最一般的线性Fredholm积分-微分-差分方程的多项式解","authors":"Mehmet Sezer, Mustafa Gülsu","doi":"10.1080/02781070500128354","DOIUrl":null,"url":null,"abstract":"In this article, a Taylor matrix method is developed to find an approximate solution of the most general linear Fredholm integrodifferential–difference equations with variable coefficients under the mixed conditions in terms of Taylor polynomials. Also numerical examples are presented, which illustrate the pertinent features of the method. In some numerical examples, MAPLE modules are designed for the purpose of testing and using the method.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"50 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"41","resultStr":"{\"title\":\"Polynomial solution of the most general linear Fredholm integrodifferential–difference equations by means of Taylor matrix method\",\"authors\":\"Mehmet Sezer, Mustafa Gülsu\",\"doi\":\"10.1080/02781070500128354\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, a Taylor matrix method is developed to find an approximate solution of the most general linear Fredholm integrodifferential–difference equations with variable coefficients under the mixed conditions in terms of Taylor polynomials. Also numerical examples are presented, which illustrate the pertinent features of the method. In some numerical examples, MAPLE modules are designed for the purpose of testing and using the method.\",\"PeriodicalId\":272508,\"journal\":{\"name\":\"Complex Variables, Theory and Application: An International Journal\",\"volume\":\"50 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-04-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"41\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex Variables, Theory and Application: An International Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/02781070500128354\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables, Theory and Application: An International Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/02781070500128354","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Polynomial solution of the most general linear Fredholm integrodifferential–difference equations by means of Taylor matrix method
In this article, a Taylor matrix method is developed to find an approximate solution of the most general linear Fredholm integrodifferential–difference equations with variable coefficients under the mixed conditions in terms of Taylor polynomials. Also numerical examples are presented, which illustrate the pertinent features of the method. In some numerical examples, MAPLE modules are designed for the purpose of testing and using the method.
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