{"title":"Quenching phenomenon in the Caputo–Hadamard time-fractional Kawarada problem: Analysis and computation","authors":"Dingding Cao, Changpin Li","doi":"10.1016/j.matcom.2025.01.014","DOIUrl":null,"url":null,"abstract":"<div><div>In this study, the analysis and computation for quenching phenomenon in the Caputo–Hadamard time-fractional Kawarada problem is investigated. Initial findings confirm that its classical solution exhibits non-negativity and quenching in a finite time. Then the numerical method is established to detect the quenching phenomenon in the considered problem. Numerical simulations are provided to show the effectiveness of the theoretical analysis and computation.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"233 ","pages":"Pages 21-38"},"PeriodicalIF":4.4000,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics and Computers in Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S037847542500014X","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
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Abstract
In this study, the analysis and computation for quenching phenomenon in the Caputo–Hadamard time-fractional Kawarada problem is investigated. Initial findings confirm that its classical solution exhibits non-negativity and quenching in a finite time. Then the numerical method is established to detect the quenching phenomenon in the considered problem. Numerical simulations are provided to show the effectiveness of the theoretical analysis and computation.
期刊介绍：
The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles.
Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO.
Topics covered by the journal include mathematical tools in:
•The foundations of systems modelling
•Numerical analysis and the development of algorithms for simulation
They also include considerations about computer hardware for simulation and about special software and compilers.
The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research.
The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.
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