{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T07:00:00Z","timestamp":1762326000561,"version":"build-2065373602"},"reference-count":43,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2024,10,7]],"date-time":"2024-10-07T00:00:00Z","timestamp":1728259200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper aims to develop a meshless radial point interpolation (RPI) method for obtaining the numerical solution of fractional Navier\u2013Stokes equations. The proposed RPI method discretizes differential equations into highly nonlinear algebraic equations, which are subsequently solved using a fixed-point method. Furthermore, a comprehensive analysis regarding the effects of spatial and temporal discretization, polynomial order, and fractional order is conducted. These factors\u2019 impacts on the accuracy and efficiency of the solutions are discussed in detail. It can be shown that the meshless RPI method works quite well for solving some benchmark problems accurately.<\/jats:p>","DOI":"10.3390\/axioms13100695","type":"journal-article","created":{"date-parts":[[2024,10,7]],"date-time":"2024-10-07T07:30:18Z","timestamp":1728286218000},"page":"695","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Meshless Radial Point Interpolation Method for Solving Fractional Navier\u2013Stokes Equations"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4407-4314","authenticated-orcid":false,"given":"Arman","family":"Dabiri","sequence":"first","affiliation":[{"name":"Department of Mechanical and Mechatronics, Southern Illinois University, Edwardsville, IL 62026, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4957-9028","authenticated-orcid":false,"given":"Behrouz Parsa","family":"Moghaddam","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan 44169-39515, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8473-2476","authenticated-orcid":false,"given":"Elham","family":"Taghizadeh","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran 19558-47781, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8262-1369","authenticated-orcid":false,"given":"Alexandra","family":"Galhano","sequence":"additional","affiliation":[{"name":"Faculdade de Ci\u00eancias Naturais, Engenharias e Tecnologias, Universidade Lus\u00f3fona do Porto, Rua Augusto Rosa 24, 4000-098 Porto, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2024,10,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Temam, R. 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