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The superiority of the scheme to tackle VOF-GPEs is revealed, even when dealing with nonsmooth time solutions.<\/jats:p>","DOI":"10.1515\/ijnsns-2021-0018","type":"journal-article","created":{"date-parts":[[2021,8,27]],"date-time":"2021-08-27T00:47:49Z","timestamp":1630025269000},"page":"421-435","source":"Crossref","is-referenced-by-count":2,"title":["Numerical solutions for variable-order fractional Gross\u2013Pitaevskii equation with two spectral collocation approaches"],"prefix":"10.1515","volume":"24","author":[{"given":"Eid H.","family":"Doha","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science , Cairo University , Giza , Egypt"}]},{"given":"Mohamed A.","family":"Abdelkawy","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science , Al-Imam Mohammad Ibn Saud Islamic University (IMSIU) , Riyadh , Saudi Arabia"},{"name":"Department of Mathematics, Faculty of Science , Beni-Suef University , Beni-Suef , Egypt"}]},{"given":"Ahmed Z. M.","family":"Amin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science , Beni-Suef University , Beni-Suef , Egypt"}]},{"given":"Ant\u00f3nio M.","family":"Lopes","sequence":"additional","affiliation":[{"name":"UISPA\u2013LAETA\/INEGI, Faculty of Engineering , University of Porto , Porto , Portugal"}]}],"member":"374","published-online":{"date-parts":[[2021,8,24]]},"reference":[{"key":"2023051812435523792_j_ijnsns-2021-0018_ref_001","doi-asserted-by":"crossref","unstructured":"X.-J. Yang, D. Baleanu, and H. Srivastava, Local Fractional Integral Transforms and Their Applications, London, Academic Press, 2015.","DOI":"10.1016\/B978-0-12-804002-7.00002-4"},{"key":"2023051812435523792_j_ijnsns-2021-0018_ref_002","doi-asserted-by":"crossref","unstructured":"X.-J. Yang, D. Baleanu, and H. 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