<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

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

Laboratory of Pure and Applied Mathematics

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this paper, an efficient algorithm is proposed for solving one dimensional time-space-fractional telegraph equations. The fractional derivatives are...

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

Pubblicato online: 30 apr 2021

Pagine: 413 - 429

Ricevuto: 31 ago 2020

Accettato: 08 apr 2021

DOI: https://doi.org/10.2478/mjpaa-2021-0028

Parole chiave
Conformable fractional calculus, Newmark’s method, Shifted Chebyshev polynomials of the fourth kind, Time-space-fractional telegraph equation

© 2021 Abdelkebir Saad et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Pubblicato online: 30 apr 2021

Pagine: 413 - 429

Ricevuto: 31 ago 2020

Accettato: 08 apr 2021

DOI: https://doi.org/10.2478/mjpaa-2021-0028

Parole chiaveConformable fractional calculus, Newmark’s method, Shifted Chebyshev polynomials of the fourth kind, Time-space-fractional telegraph equation

© 2021 Abdelkebir Saad et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Parole chiave
Conformable fractional calculus, Newmark’s method, Shifted Chebyshev polynomials of the fourth kind, Time-space-fractional telegraph equation