{"title":"分数阶微分方程的二阶显式方法及其稳定性","authors":"Zahra Farzaneh Bonab, Mohammad Javidi","doi":"10.1007/s13370-025-01322-9","DOIUrl":null,"url":null,"abstract":"<div><p>Several explicit multistep methods have already been introduced. New higher-order explicit methods are obtained in the present study, and their stability properties are investigated. Some numerical examples confirm the theoretical results.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Second-order explicit methods for fractional differential equations and their stability properties\",\"authors\":\"Zahra Farzaneh Bonab, Mohammad Javidi\",\"doi\":\"10.1007/s13370-025-01322-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Several explicit multistep methods have already been introduced. New higher-order explicit methods are obtained in the present study, and their stability properties are investigated. Some numerical examples confirm the theoretical results.</p></div>\",\"PeriodicalId\":46107,\"journal\":{\"name\":\"Afrika Matematika\",\"volume\":\"36 2\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2025-05-28\",\"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/s13370-025-01322-9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-025-01322-9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Second-order explicit methods for fractional differential equations and their stability properties
Several explicit multistep methods have already been introduced. New higher-order explicit methods are obtained in the present study, and their stability properties are investigated. Some numerical examples confirm the theoretical results.
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