{"title":"Wavelets direct method for solving volterra integral-algebraic equations","authors":"S. Sohrabi","doi":"10.1007/s13370-023-01135-8","DOIUrl":null,"url":null,"abstract":"<div><p>This paper deals with the numerical solutions for Volterra type integral-algebraic equations (IAEs) via a direct method using Legendre wavelets (LWs). Using the operational matrix associated with Legendre wavelets the problem is transformed to a linear system of algebraic equations. This approach does not use any variable transformations, so all calculations can be easily implemented. Convergence rate and numerical examples are presented to illustrate the efficiency and applicability of the method.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-023-01135-8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper deals with the numerical solutions for Volterra type integral-algebraic equations (IAEs) via a direct method using Legendre wavelets (LWs). Using the operational matrix associated with Legendre wavelets the problem is transformed to a linear system of algebraic equations. This approach does not use any variable transformations, so all calculations can be easily implemented. Convergence rate and numerical examples are presented to illustrate the efficiency and applicability of the method.
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