H. Saeidi, M. Sh. Dahaghin, S. Mehrabi, H. Hassani
{"title":"Bessel Polynomials: Application in Finding Optimal Solution of Fractional COVID-19 Model Using Lagrange Multipliers","authors":"H. Saeidi, M. Sh. Dahaghin, S. Mehrabi, H. Hassani","doi":"10.1007/s40995-024-01632-w","DOIUrl":null,"url":null,"abstract":"<div><p>After the outbreak of coronavirus disease, numerous models have been proposed for it. In this paper, a fractional mathematical model for COVID-19 is introduced. Applying generalized Bessel polynomials, each function in the model is approximated. For minimizing the norm-2 of residual functions, an optimization problem is obtained and this problem is solved using Lagrange multipliers. The numerical results shows that the proposed method has high accuracy and is suitable for solving nonlinear optimization problems and also can help specialists to cure and control Covid-19 disease.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"48 4","pages":"953 - 963"},"PeriodicalIF":1.4000,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology, Transactions A: Science","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s40995-024-01632-w","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
引用次数: 0
Abstract
After the outbreak of coronavirus disease, numerous models have been proposed for it. In this paper, a fractional mathematical model for COVID-19 is introduced. Applying generalized Bessel polynomials, each function in the model is approximated. For minimizing the norm-2 of residual functions, an optimization problem is obtained and this problem is solved using Lagrange multipliers. The numerical results shows that the proposed method has high accuracy and is suitable for solving nonlinear optimization problems and also can help specialists to cure and control Covid-19 disease.
期刊介绍:
The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences