Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (192 kB) Citations (37)
References:
PDF
HTML
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
\Bibitem{AbdAid16}
\by V.~M.~Abdullayev, K.~R.~Aida-zade
\paper Finite-difference methods for solving loaded parabolic equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2016
\vol 56
\issue 1
\pages 99--112
\mathnet{http://mi.mathnet.ru/zvmmf10326}
\crossref{https://doi.org/10.7868/S0044466916010038}
\elib{https://elibrary.ru/item.asp?id=25343598}
\transl
\jour Comput. Math. Math. Phys.
\yr 2016
\vol 56
\issue 1
\pages 93--105
\crossref{https://doi.org/10.1134/S0965542516010036}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000373076900005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84961564511}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10326
  • https://www.mathnet.ru/eng/zvmmf/v56/i1/p99
    • This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024