<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

Publié en ligne: 30 avr. 2021

Pages: 413 - 429

Reçu: 31 août 2020

Accepté: 08 avr. 2021

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

Mots clés
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

Publié en ligne: 30 avr. 2021

Pages: 413 - 429

Reçu: 31 août 2020

Accepté: 08 avr. 2021

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

Mots clésConformable 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.

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