An efficient algorithm for solving the conformable time-space fractional telegraph equations
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Date
2021
Authors
Journal Title
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Publisher
Université de M'sila
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.
Description
Keywords
Conformable fractional calculus, Newmark’s method, Shifted Chebyshev polynomials of the fourth kind, Time-space-fractional telegraph equation. 1.