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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 1, Pages 99–112
DOI: https://doi.org/10.7868/S0044466916010038 (Mi zvmmf10326) 		 
This article is cited in 37 scientific papers (total in 37 papers)

Finite-difference methods for solving loaded parabolic equations

V. M. Abdullayevab, K. R. Aida-zadeba

a Institute of Control Systems, Azerbaijan National Academy of Sciences, Baku, Azerbaijan
b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, ul. B. Vagabzade 9, Baku, AZ1141, Azerbaijan
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DOI: https://doi.org/10.7868/S0044466916010038
Abstract: Loaded partial differential equations are solved numerically. For illustrative purposes, a boundary value problem for a parabolic equation with various point loads is considered. By applying difference approximations, the problems are reduced to systems of algebraic equations of special structure, which are solved using a parametric representation involving solutions of auxiliary linear systems with tridiagonal matrices. Numerical results are presented and analyzed.
Key words: loaded differential equation, parabolic equation, grid method, tridiagonal matrix algorithm, system of linear algebraic equations.
Received: 31.03.2014
Revised: 08.04.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 1, Pages 93–105
DOI: https://doi.org/10.1134/S0965542516010036
Bibliographic databases:
Document Type: Article
UDC: 519.624
Language: Russian
Citation: V. M. Abdullayev, K. R. Aida-zade, “Finite-difference methods for solving loaded parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 56:1 (2016), 99–112; Comput. Math. Math. Phys., 56:1 (2016), 93–105
Citation in format AMSBIB
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    • This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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