{"title":"A note on double Laplace decomposition method for solving singular one dimensional pseudo thermo-elasticity coupled system","authors":"H. Eltayeb, Imed Bachar","doi":"10.22436/JNSA.011.06.12","DOIUrl":null,"url":null,"abstract":"In this paper, Adomain decomposition method is reintroduced with double Laplace transform methods to obtain closed form solutions of linear and nonlinear singular one dimensional pseudo thermo-elasticity coupled system. The nonlinear terms can be easily handled by the use of Adomian polynomials. Furthermore, we illustrate our proposed methods by one example.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"1 1","pages":"864-876"},"PeriodicalIF":0.0000,"publicationDate":"2018-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Journal of Nonlinear Sciences and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22436/JNSA.011.06.12","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, Adomain decomposition method is reintroduced with double Laplace transform methods to obtain closed form solutions of linear and nonlinear singular one dimensional pseudo thermo-elasticity coupled system. The nonlinear terms can be easily handled by the use of Adomian polynomials. Furthermore, we illustrate our proposed methods by one example.