{"title":"On the Solution of Multi-Term Nonlinear Partial Derivative Delay Differential Equations","authors":"W. A. Ahmood, Marwa Mohamed Ismaeel","doi":"10.37394/232011.2022.17.21","DOIUrl":null,"url":null,"abstract":"In our paper, we used the Adomian decomposition method to solve multi-term nonlinear delay differential equations of partial derivative order, these types of equations are studied. When we used this method, the being of an exclusive solution will be provided, approximate analytics of this method applied to these kinds of equations will be disputed, and the maximum absolute briefed error of the Adomians series solution will be rated. A digital example is made ready to make clear the effectiveness of the offered method.","PeriodicalId":53603,"journal":{"name":"WSEAS Transactions on Applied and Theoretical Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"WSEAS Transactions on Applied and Theoretical Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/232011.2022.17.21","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
In our paper, we used the Adomian decomposition method to solve multi-term nonlinear delay differential equations of partial derivative order, these types of equations are studied. When we used this method, the being of an exclusive solution will be provided, approximate analytics of this method applied to these kinds of equations will be disputed, and the maximum absolute briefed error of the Adomians series solution will be rated. A digital example is made ready to make clear the effectiveness of the offered method.
期刊介绍:
WSEAS Transactions on Applied and Theoretical Mechanics publishes original research papers relating to computational and experimental mechanics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with fluid-structure interaction, impact and multibody dynamics, nonlinear dynamics, structural dynamics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.