{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T00:39:10Z","timestamp":1784853550498,"version":"3.55.0"},"reference-count":38,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,4,18]],"date-time":"2023-04-18T00:00:00Z","timestamp":1681776000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The major objective of this work is to evaluate and study the model of coronavirus illness by providing an efficient numerical solution for this important model. The model under investigation is composed of five differential equations. In this study, the multidomain spectral relaxation method (MSRM) is used to numerically solve the suggested model. The proposed approach is based on the hypothesis that the domain of the problem can be split into a finite number of subintervals, each of which can have a solution. The procedure also converts the proposed model into a system of algebraic equations. Some theoretical studies are provided to discuss the convergence analysis of the suggested scheme and deduce an upper bound of the error. A numerical simulation is used to evaluate the approach\u2019s accuracy and utility, and it is presented in symmetric forms.<\/jats:p>","DOI":"10.3390\/sym15040931","type":"journal-article","created":{"date-parts":[[2023,4,18]],"date-time":"2023-04-18T05:18:13Z","timestamp":1681795093000},"page":"931","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["Numerical Simulation for COVID-19 Model Using a Multidomain Spectral Relaxation Technique"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7069-697X","authenticated-orcid":false,"given":"Mohamed","family":"Adel","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medina 42210, Saudi Arabia"},{"name":"Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3844-139X","authenticated-orcid":false,"given":"Mohamed M.","family":"Khader","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11566, Saudi Arabia"},{"name":"Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Taghreed A.","family":"Assiri","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Applied Sciences, Umm Al-Qura University, Makkah 21955, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wajdi","family":"Kallel","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Applied Sciences, Umm Al-Qura University, Makkah 21955, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,4,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"103776","DOI":"10.1016\/j.rinp.2020.103776","article-title":"A mathematical model of Coronavirus Disease (COVID-19) containing asymptomatic and symptomatic classes","volume":"21","author":"Ahmed","year":"2021","journal-title":"Results Phys."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Sen, M.D., Ibeas, A., and Agarwal, R.P. 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