{"title":"分数阶微分方程求解器/Matlab","authors":"M. Sowa, A. Kawala-Janik, W. Bauer","doi":"10.1109/MMAR.2018.8485964","DOIUrl":null,"url":null,"abstract":"This paper concerns solvers for time fractional differential equations in Matlab and Octave. The main analysis revolves around a time step size adaptive solver basing on the numerical method called SubIval. The basis of SubIval is explained and formulae for the step size adaptivity are given. The solver is compared with others basing on: fractional linear multistep methods, product integration rules and the Grünwald-Letnikov approximation.","PeriodicalId":201658,"journal":{"name":"2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR)","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Fractional Differential Equation Solvers in Octave/Matlab\",\"authors\":\"M. Sowa, A. Kawala-Janik, W. Bauer\",\"doi\":\"10.1109/MMAR.2018.8485964\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper concerns solvers for time fractional differential equations in Matlab and Octave. The main analysis revolves around a time step size adaptive solver basing on the numerical method called SubIval. The basis of SubIval is explained and formulae for the step size adaptivity are given. The solver is compared with others basing on: fractional linear multistep methods, product integration rules and the Grünwald-Letnikov approximation.\",\"PeriodicalId\":201658,\"journal\":{\"name\":\"2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR)\",\"volume\":\"31 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"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.2018.8485964\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","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.2018.8485964","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fractional Differential Equation Solvers in Octave/Matlab
This paper concerns solvers for time fractional differential equations in Matlab and Octave. The main analysis revolves around a time step size adaptive solver basing on the numerical method called SubIval. The basis of SubIval is explained and formulae for the step size adaptivity are given. The solver is compared with others basing on: fractional linear multistep methods, product integration rules and the Grünwald-Letnikov approximation.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
