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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 2, Pages 222–231 (Mi timm823)  
This article is cited in 12 scientific papers (total in 12 papers)

Numerical methods for solving a hereditary equation of hyperbolic type

V. G. Pimenov, E. E. Tashirova

Ural Federal University
Full-text PDF (277 kB) Citations (12)
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Abstract: A family of grid methods is constructed for the numerical solution of a wave equation with time delay of general form; the methods are based on the idea of separating the current state and the prehistory function. A theorem on the order of convergence of the methods is obtained by means of embedding into a general difference scheme with aftereffect. Results of calculating test examples with constant and variable time delay are presented.
Keywords: numerical methods, wave equation, time delay, difference schemes, interpolation, extrapolation, order of convergence.
Received: 22.09.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2013, Volume 281, Issue 1, Pages 126–136
DOI: https://doi.org/10.1134/S008154381305012X
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. G. Pimenov, E. E. Tashirova, “Numerical methods for solving a hereditary equation of hyperbolic type”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 2, 2012, 222–231; Proc. Steklov Inst. Math. (Suppl.), 281, suppl. 1 (2013), 126–136
Citation in format AMSBIB
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\pages 222--231
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\jour Proc. Steklov Inst. Math. (Suppl.)
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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