{"title":"四阶分数阶扩散波模型的高精度数值系统","authors":"Xuhao Li, Patricia J. Y. Wong","doi":"10.1109/ICARCV.2018.8581358","DOIUrl":null,"url":null,"abstract":"In this paper, we tackle the numerical treatment of a fourth-order fractional diffusion-wave problem using parametric quintic spline. It is shown that the numerical scheme is stable and convergent and the theoretical convergence order improves those of earlier work. To confirm, simulation is carried out to demonstrate its efficiency.","PeriodicalId":395380,"journal":{"name":"2018 15th International Conference on Control, Automation, Robotics and Vision (ICARCV)","volume":"237 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"High Accuracy Numerical System for Fourth-order Fractional Diffusion-wave Model\",\"authors\":\"Xuhao Li, Patricia J. Y. Wong\",\"doi\":\"10.1109/ICARCV.2018.8581358\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we tackle the numerical treatment of a fourth-order fractional diffusion-wave problem using parametric quintic spline. It is shown that the numerical scheme is stable and convergent and the theoretical convergence order improves those of earlier work. To confirm, simulation is carried out to demonstrate its efficiency.\",\"PeriodicalId\":395380,\"journal\":{\"name\":\"2018 15th International Conference on Control, Automation, Robotics and Vision (ICARCV)\",\"volume\":\"237 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 15th International Conference on Control, Automation, Robotics and Vision (ICARCV)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICARCV.2018.8581358\",\"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 15th International Conference on Control, Automation, Robotics and Vision (ICARCV)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICARCV.2018.8581358","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
High Accuracy Numerical System for Fourth-order Fractional Diffusion-wave Model
In this paper, we tackle the numerical treatment of a fourth-order fractional diffusion-wave problem using parametric quintic spline. It is shown that the numerical scheme is stable and convergent and the theoretical convergence order improves those of earlier work. To confirm, simulation is carried out to demonstrate its efficiency.