Efficient computational framework for solving boundary value problems in Caputo setting with polynomial and non-polynomial solutions
Rattachement africain : pk, lb. Niveau de preuve : code pays fourni par la source.
Le résumé fourni par la source
In the presented study, we address two-point boundary value problems in the Caputo framework by extending the operational matrices approach. This approach has previously been used in the literature to solve problems modeled with initial conditions. The proposed method relies on newly constructed operational matrices for fractional-order integrals derived from shifted Gegenbauer polynomials. Through the inclusion of monomial terms in the proposed computational scheme, these matrices convert the problem into Sylvester-form matrix equations that can be resolved effectively. Moreover, our approach is applicable to problems admitting either polynomial or non-polynomial solutions. In order to assess the precision and efficiency of our method, we compare its results with those produced by the Bessel Collocation approach, the Haar Wavelet approach, a hybrid approach combining the Homotopy Perturbation approach with Green's function, and the Fractional Central Formula for the Caputo differentiator. This comparative analysis confirms the effectiveness of our approach.
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Le contrôle bibliographique ouvert
DOI retrouvé dans Crossref DOI retrouvé ; titre concordant.
- Titre Crossref
- Efficient computational framework for solving boundary value problems in Caputo setting with polynomial and non-polynomial solutions
- Date Crossref
- 14/11/2025
- Éditeur
- International Scientific Research Publications
- Type
- journal-article
Ce recoupement confirme des métadonnées liées au DOI. Il ne confirme ni la méthode ni les conclusions de l’étude, et il ne compte pas comme une seconde source scientifique indépendante.
Où se fait cette recherche
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Government Sadiq College Women University Department of Mathematics pays non établi dans la noticeUniversité ou école supérieure
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Virtual University of Pakistan Department of Mathematics pays non établi dans la noticeUniversité ou école supérieure
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Lebanese American University Department of Computer Science and Mathematics pays non établi dans la noticeUniversité ou école supérieure
Department of Mathematics — Government Sadiq College Women University, Department of Mathematics — Virtual University of Pakistan et Department of Computer Science and Mathematics — Lebanese American University.
Une affiliation ne permet pas de déduire la nationalité d’un auteur.