Adaptive Technique for Solving 1-D Interface Problems of Fractional Order

In this paper, we present a numerical technique for solving 1-D interface problems of fractional order. This technique relies on the reproducing kernel functions and the shooting method. The biggest advantage over the existing standard analytical techniques is overcoming the difficulty arising in ca...

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Detalles Bibliográficos
Autores principales: Al-Masaeed, Rahma, Maayah, Banan, Abu-Ghurra, Sana
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer India 2022
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9362368/
https://www.ncbi.nlm.nih.gov/pubmed/35965734
http://dx.doi.org/10.1007/s40819-022-01397-z
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author Al-Masaeed, Rahma
Maayah, Banan
Abu-Ghurra, Sana
author_facet Al-Masaeed, Rahma
Maayah, Banan
Abu-Ghurra, Sana
author_sort Al-Masaeed, Rahma
collection PubMed
description In this paper, we present a numerical technique for solving 1-D interface problems of fractional order. This technique relies on the reproducing kernel functions and the shooting method. The biggest advantage over the existing standard analytical techniques is overcoming the difficulty arising in calculating complicated terms. Numerical examples are inspected to feature the significant highlights of this technique. Moreover, the solution procedure is simple, more effective and clearer.
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spelling pubmed-93623682022-08-10 Adaptive Technique for Solving 1-D Interface Problems of Fractional Order Al-Masaeed, Rahma Maayah, Banan Abu-Ghurra, Sana Int J Appl Comput Math Original Paper In this paper, we present a numerical technique for solving 1-D interface problems of fractional order. This technique relies on the reproducing kernel functions and the shooting method. The biggest advantage over the existing standard analytical techniques is overcoming the difficulty arising in calculating complicated terms. Numerical examples are inspected to feature the significant highlights of this technique. Moreover, the solution procedure is simple, more effective and clearer. Springer India 2022-08-04 2022 /pmc/articles/PMC9362368/ /pubmed/35965734 http://dx.doi.org/10.1007/s40819-022-01397-z Text en © The Author(s), under exclusive licence to Springer Nature India Private Limited 2022, Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Original Paper
Al-Masaeed, Rahma
Maayah, Banan
Abu-Ghurra, Sana
Adaptive Technique for Solving 1-D Interface Problems of Fractional Order
title Adaptive Technique for Solving 1-D Interface Problems of Fractional Order
title_full Adaptive Technique for Solving 1-D Interface Problems of Fractional Order
title_fullStr Adaptive Technique for Solving 1-D Interface Problems of Fractional Order
title_full_unstemmed Adaptive Technique for Solving 1-D Interface Problems of Fractional Order
title_short Adaptive Technique for Solving 1-D Interface Problems of Fractional Order
title_sort adaptive technique for solving 1-d interface problems of fractional order
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9362368/
https://www.ncbi.nlm.nih.gov/pubmed/35965734
http://dx.doi.org/10.1007/s40819-022-01397-z
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AT maayahbanan adaptivetechniqueforsolving1dinterfaceproblemsoffractionalorder
AT abughurrasana adaptivetechniqueforsolving1dinterfaceproblemsoffractionalorder

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