Affiliation:
1. Faculty of Mathematics , University of Belgrade , Studentski trg 16, 11000 Belgrade , Serbia
Abstract
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.
Funder
Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis
Cited by
6 articles.
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