Accès ouvert

Two spectral Gegenbauer methods for solving linear and nonlinear time fractional Cable problems

Article scientifique 2023 Anglais

Résumé

Abstract This research aims to analyze and implement two numerical spectral schemes for solving linear and nonlinear time fractional Cable equations (TFCEs). Two modified sets of shifted Gegenbauer polynomials (SGPs) are used as basis functions. The approximation of the solution is written as a product of the two chosen basis function sets. For these methods, the principle idea is to convert the problem governed by the underlying conditions into a set of linear and nonlinear algebraic equations that can be solved using appropriate numerical techniques. The upper estimate of the truncation error for the proposed expansion is investigated. In the end, four examples are presented to illustrate the accuracy of the suggested schemes. AMS Mathematics Subject Classification 2010: 35R11, 65N35, 40A05, 35R11

Citer ce document

Atta, A. (2023). Two spectral Gegenbauer methods for solving linear and nonlinear time fractional Cable problems. https://doi.org/10.21203/rs.3.rs-2972455/v1

Accès au document

Texte intégral en lecture en ligne, réservé aux abonnés SPHAERO et aux membres de l'institution. Se connecter

Voir l'article sur le site de la revue

Auteur(s)

Ahmed Gamal Atta

Statistiques

Consultations : 1

Téléchargements : 0