{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,15]],"date-time":"2025-12-15T04:25:03Z","timestamp":1765772703449},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014,1,1]]},"abstract":"<jats:title>Abstract.<\/jats:title><jats:p>\nIn this paper we present a shooting algorithm to solve fractional terminal\n(or boundary) value problems. We provide a convergence analysis of the\nnumerical method, derived based upon properties of the equation\nbeing solved and without the need to impose smoothness conditions on\nthe solution. The work is a sequel to our recent investigation where we\nconstructed a nonpolynomial collocation method for the approximation of the\nsolution to fractional initial value problems. Here we show that the method can\nbe adapted for the effective approximation of the solution of terminal value\nproblems. Moreover, we compare the efficiency of this numerical scheme against other existing methods.\n<\/jats:p>","DOI":"10.1515\/cmam-2013-0022","type":"journal-article","created":{"date-parts":[[2014,1,9]],"date-time":"2014-01-09T20:13:43Z","timestamp":1389298423000},"page":"55-70","source":"Crossref","is-referenced-by-count":23,"title":["High Order Numerical Methods for Fractional Terminal Value Problems"],"prefix":"10.1515","volume":"14","author":[{"given":"Neville J.","family":"Ford","sequence":"first","affiliation":[{"name":"1Department of Mathematics, University of Chester, CH1 4BJ, UK"}]},{"given":"Maria L.","family":"Morgado","sequence":"additional","affiliation":[{"name":"2CM-UTAD, Department of Mathematics, University of Tr\u00e1s-os-Montes e Alto Douro, Quinta de Prados 5001-801, Vila Real, Portugal"}]},{"given":"Magda","family":"Rebelo","sequence":"additional","affiliation":[{"name":"3CEMAT-IST\/UTL and Department of Mathematics, Faculdade de Ci\u00eancias e Tecnologia, UNL, Quinta da Torre, 2829-516 Caparica, Portugal"}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/14\/1\/article-p55.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/downloadpdf\/journals\/cmam\/14\/1\/article-p55.xml","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,2,28]],"date-time":"2021-02-28T03:03:46Z","timestamp":1614481426000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2013-0022\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,1,1]]},"references-count":0,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1515\/cmam-2013-0022","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"value":"1609-4840","type":"print"},{"value":"1609-9389","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,1,1]]}}}