Finite Difference Approximation of a Generalized Time-Fractional Telegraph Equation

Autor:	Sandra Živanović, Boško S. Jovanović, Aleksandra Delić
Rok vydání:	2019
Předmět:	Computational Mathematics Numerical Analysis Applied Mathematics 010102 general mathematics Finite difference Applied mathematics 010103 numerical & computational mathematics Telegrapher's equations 0101 mathematics 01 natural sciences Mathematics
Zdroj:	Computational Methods in Applied Mathematics. 20:595-607
ISSN:	1609-9389 1609-4840
DOI:	10.1515/cmam-2018-0291
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::70367493107f32146fcc1234e09be3d2 https://doi.org/10.1515/cmam-2018-0291 Zobrazit plný text záznamu