{"title":"A Generalized Crank-Nicolson Method for the Solution of the Subdiffusion Equation","authors":"M. Błasik","doi":"10.1109/MMAR.2018.8485908","DOIUrl":null,"url":null,"abstract":"In this paper we present a numerical solution of a one-dimensional subdiffusion equation with a fractional time derivative in the Caputo sense. The proposed algorithm is an extension of the Crank-Nicolson method for a classical parabolic partial differential equation. In the final part, we also present examples illustrating the comparison of the analytical solution with the results received by the proposed numerical method.","PeriodicalId":201658,"journal":{"name":"2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMAR.2018.8485908","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper we present a numerical solution of a one-dimensional subdiffusion equation with a fractional time derivative in the Caputo sense. The proposed algorithm is an extension of the Crank-Nicolson method for a classical parabolic partial differential equation. In the final part, we also present examples illustrating the comparison of the analytical solution with the results received by the proposed numerical method.
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