An efficient algorithm for solving the conformable time-space fractional telegraph equations

Autor: Saad Abdelkebir, Brahim Nouiri
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Moroccan Journal of Pure and Applied Analysis, Vol 7, Iss 3, Pp 413-429 (2021)
Druh dokumentu: article
ISSN: 2351-8227
DOI: 10.2478/mjpaa-2021-0028
Popis: In this paper, an efficient algorithm is proposed for solving one dimensional time-space-fractional telegraph equations. The fractional derivatives are described in the conformable sense. This algorithm is based on shifted Chebyshev polynomials of the fourth kind. The time-space fractional telegraph equations is reduced to a linear system of second order differential equations and the Newmark’s method is applied to solve this system. Finally, some numerical examples are presented to confirm the reliability and effectiveness of this algorithm.
Databáze: Directory of Open Access Journals