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Finite Difference Approximation of a Generalized Time-Fractional Telegraph Equation by Aleksandra Delić; Boško S. Jovanović; Sandra Živanović is a Engineering article available to read on EtoBox.

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## 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.

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Author

Aleksandra Delić; Boško S. Jovanović; Sandra Živanović

Publisher

Walter de Gruyter GmbH

Published

2019

Language

EN

Field

Engineering (Physical Sciences)