Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro
{"title":"Numerical solution of FDE-IVPs by using fractional HBVMs: the fhbvm code","authors":"Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro","doi":"10.1007/s11075-024-01884-y","DOIUrl":null,"url":null,"abstract":"<p>In this paper we describe the efficient numerical implementation of <i>Fractional HBVMs</i>, a class of methods recently introduced for solving systems of fractional differential equations. The reported arguments are implemented in the Matlab<span>\\(^{\\copyright } \\)</span> code <span>fhbvm</span>, which is made available on the web. An extensive experimentation of the code is reported, to give evidence of its effectiveness.</p>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11075-024-01884-y","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we describe the efficient numerical implementation of Fractional HBVMs, a class of methods recently introduced for solving systems of fractional differential equations. The reported arguments are implemented in the Matlab\(^{\copyright } \) code fhbvm, which is made available on the web. An extensive experimentation of the code is reported, to give evidence of its effectiveness.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
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