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Finite Difference Approximation of a Generalized Time-Fractional Telegraph Equation

  • Aleksandra Delić , Boško S. Jovanović EMAIL logo and Sandra Živanović

Abstract

We consider a class of a generalized time-fractional telegraph equations. The existence of a weak solution of the corresponding initial-boundary value problem has been proved. A finite difference scheme approximating the problem is proposed, and its stability is proved. An estimate for the rate of convergence, in special discrete energetic Sobolev’s norm, is obtained. The theoretical results are confirmed by numerical examples.


Dedicated to the centenary of the birth of academician Alexander Andreevich Samarskii


Award Identifier / Grant number: 174015

Funding statement: This work was supported by Ministry of Education, Science and Technological Development of Republic of Serbia through project No. 174015.

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Received: 2018-11-26
Revised: 2019-07-09
Accepted: 2019-07-11
Published Online: 2019-08-20
Published in Print: 2020-10-01

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