Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/101377
Title: Theoretical analysis (Convergence and stability) of a difference approximation for multiterm time fractional convection diffusion-wave equations with delay
Authors: Hendy, A. S.
De Staelen, R. H.
Issue Date: 2020
Publisher: MDPI AG
Citation: Hendy A. S. Theoretical analysis (Convergence and stability) of a difference approximation for multiterm time fractional convection diffusion-wave equations with delay / A. S. Hendy, Staelen D. . — DOI 10.3390/math8101696 // Mathematics. — 2020. — Vol. 8. — Iss. 10. — P. 1-20. — 1696.
Abstract: In this paper, we introduce a high order numerical approximation method for convection diffusion wave equations armed with a multiterm time fractional Caputo operator and a nonlinear fixed time delay. A temporal second-order scheme which is behaving linearly is derived and analyzed for the problem under consideration based on a combination of the formula of L2 − 1σ and the order reduction technique. By means of the discrete energy method, convergence and stability of the proposed compact difference scheme are estimated unconditionally. A numerical example is provided to illustrate the theoretical results. © 2020 by the authors. Licensee MDPI, Basel, Switzerland.
Keywords: COMPACT DIFFERENCE SCHEME
CONVERGENCE AND STABILITY
FRACTIONAL CONVECTION DIFFUSION-WAVE EQUATIONS
NONLINEAR DELAY
SPATIAL VARIABLE COEFFICIENTS
URI: http://hdl.handle.net/10995/101377
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85093111230
PURE ID: 14156713
e7462758-4782-4a69-b95a-f13d16bd66b3
ISSN: 22277390
DOI: 10.3390/math8101696
metadata.dc.description.sponsorship: The first author wishes to acknowledge the support of RFBR Grant 19-01-00019.
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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