An approach based on the pseudospectral method for fractional telegraph equations

Autor: Haifa Bin Jebreen, Beatriz Hernández-Jiménez
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 12, Pp 29221-29238 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20231496?viewType=HTML
Popis: We aim to implement the pseudospectral method on fractional Telegraph equation. To implement this method, Chebyshev cardinal functions (CCFs) are considered bases. Introducing a matrix representation of the Caputo fractional derivative (CFD) via an indirect method and applying it via the pseudospectral method helps to reduce the desired problem to a system of algebraic equations. The proposed method is an effective and accurate numerical method such that its implementation is easy. Some examples are provided to confirm convergence analysis, effectiveness and accuracy.
Databáze: Directory of Open Access Journals