{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:51:21Z","timestamp":1760241081019,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2019,11,22]],"date-time":"2019-11-22T00:00:00Z","timestamp":1574380800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11601240, 11771214"],"award-info":[{"award-number":["11601240, 11771214"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This article deals with a numerical approach based on the symmetric space-time Chebyshev spectral collocation method for solving different types of Burgers equations with Dirichlet boundary conditions. In this method, the variables of the equation are first approximated by interpolating polynomials and then discretized at the Chebyshev\u2013Gauss\u2013Lobatto points. Thus, we get a system of algebraic equations whose solution is the set of unknown coefficients of the approximate solution of the main problem. We investigate the convergence of the suggested numerical scheme and compare the proposed method with several recent approaches through examining some test problems.<\/jats:p>","DOI":"10.3390\/sym11121439","type":"journal-article","created":{"date-parts":[[2019,11,22]],"date-time":"2019-11-22T09:02:52Z","timestamp":1574413372000},"page":"1439","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Space\u2013Time Spectral Collocation Method for Solving Burgers Equations with the Convergence Analysis"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3317-5600","authenticated-orcid":false,"given":"Yu","family":"Huang","sequence":"first","affiliation":[{"name":"College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammad Hadi Noori","family":"Skandari","sequence":"additional","affiliation":[{"name":"Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood 3619995161, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fatemeh","family":"Mohammadizadeh","sequence":"additional","affiliation":[{"name":"Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood 3619995161, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hojjat Ahsani","family":"Tehrani","sequence":"additional","affiliation":[{"name":"Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood 3619995161, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Svetlin Georgiev","family":"Georgiev","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Sorbonne University, 75005 Paris, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Emran","family":"Tohidi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Kosar University of Bojnord, Bojnord P. O. Box 9415615458, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stanford","family":"Shateyi","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Applied Mathematics, University of Venda, P. Bag X5050, Thohoyandu 0950, South Africa"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,11,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Eltayeb, H., Bachar, I., and Kilicman, A. (2019). On conformable double laplace transform and one dimensional fractional coupled Burgers equation. 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