{"title":"Comparison of Approximate Methods for Solving Delay Differential Equations with Initial value problems","authors":"Hamood. M. Yousef, S. Alzaeemi","doi":"10.20428/jst.v27i2.2054","DOIUrl":null,"url":null,"abstract":"This paper aims to study two approximate analytical methods for solving linear and nonlinear delay differential equations. Approximate approaches are shown in the Variational iteration method and the Adomian decomposition method. Through the conversion of some instances, including linear and nonlinear delay differential equations with initial values, by comparing different approximate methods. The results show that this procedure is accurate and adequate for DDE. Comparisons between the Adomian Decomposition Method and Variational Iteration Method results demonstrate the accuracy of the results obtained from both mentioned methods. The variational iteration method is efficient and convenient based on comparing the results and exact solutions.","PeriodicalId":21913,"journal":{"name":"Songklanakarin Journal of Science and Technology","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Songklanakarin Journal of Science and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.20428/jst.v27i2.2054","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Multidisciplinary","Score":null,"Total":0}
引用次数: 0
Abstract
This paper aims to study two approximate analytical methods for solving linear and nonlinear delay differential equations. Approximate approaches are shown in the Variational iteration method and the Adomian decomposition method. Through the conversion of some instances, including linear and nonlinear delay differential equations with initial values, by comparing different approximate methods. The results show that this procedure is accurate and adequate for DDE. Comparisons between the Adomian Decomposition Method and Variational Iteration Method results demonstrate the accuracy of the results obtained from both mentioned methods. The variational iteration method is efficient and convenient based on comparing the results and exact solutions.
期刊介绍:
Songklanakarin Journal of Science and Technology (SJST) aims to provide an interdisciplinary platform for the dissemination of current knowledge and advances in science and technology. Areas covered include Agricultural and Biological Sciences, Biotechnology and Agro-Industry, Chemistry and Pharmaceutical Sciences, Engineering and Industrial Research, Environmental and Natural Resources, and Physical Sciences and Mathematics. Songklanakarin Journal of Science and Technology publishes original research work, either as full length articles or as short communications, technical articles, and review articles.