{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,14]],"date-time":"2025-11-14T17:37:24Z","timestamp":1763141844401,"version":"build-2065373602"},"reference-count":33,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2022,7,2]],"date-time":"2022-07-02T00:00:00Z","timestamp":1656720000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Van Lang University"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Fractal Fract"],"abstract":"<jats:p>This paper presents a numerical technique to approximate the Rayleigh\u2013Stokes model for a generalised Maxwell fluid formulated in the Riemann\u2013Liouville sense. The proposed method consists of two stages. First, the time discretization of the problem is accomplished by using the finite difference. Second, the space discretization is obtained by means of the predictor\u2013corrector method. The unconditional stability result and convergence analysis are analysed theoretically. Numerical examples are provided to verify the feasibility and accuracy of the proposed method.<\/jats:p>","DOI":"10.3390\/fractalfract6070377","type":"journal-article","created":{"date-parts":[[2022,7,2]],"date-time":"2022-07-02T11:12:35Z","timestamp":1656760355000},"page":"377","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Numerical Approximation of the Fractional Rayleigh\u2013Stokes Problem Arising in a Generalised Maxwell Fluid"],"prefix":"10.3390","volume":"6","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8805-4588","authenticated-orcid":false,"given":"Le Dinh","family":"Long","sequence":"first","affiliation":[{"name":"Division of Applied Mathematics, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh City 700000, Vietnam"},{"name":"Faculty of Applied Technology, School of Engineering and Technology, Van Lang University, Ho Chi Minh City 700000, Vietnam"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2352-0311","authenticated-orcid":false,"given":"Bahman","family":"Moradi","sequence":"additional","affiliation":[{"name":"School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3041-8726","authenticated-orcid":false,"given":"Omid","family":"Nikan","sequence":"additional","affiliation":[{"name":"School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2257-1798","authenticated-orcid":false,"given":"Zakieh","family":"Avazzadeh","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Xi\u2019an Jiaotong-Liverpool University, Suzhou 215123, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7359-4370","authenticated-orcid":false,"given":"Ant\u00f3nio M.","family":"Lopes","sequence":"additional","affiliation":[{"name":"Institute of Mechanical Engineering, Faculty of Engineering, University of Porto, 4200-465 Porto, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2022,7,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Milici, C., Dr\u0103g\u0103nescu, G., and Machado, J.T. 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