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A FINITE-DIFFERENCE SCHEME FOR SOLUTION OF A FRACTIONAL HEAT DIFFUSION-WAVE EQUATION WITHOUT INITIAL CONDITIONS

ABSTRACT
Efficient finite-difference scheme to solve fractional diffusion-wave equations without initial conditions has been developed. The efficient approximation of the Riesz fractional derivatives is demonstrated and efficiently exemplified by two simple problems with/without source terms.
KEYWORDS
PAPER SUBMITTED: 2012-04-18
PAPER REVISED: 2012-05-02
PAPER ACCEPTED: 2012-08-25
DOI REFERENCE: https://doi.org/10.2298/TSCI120418148B
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE 2, PAGES [531 - 536]
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© 2020 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence