Email this article Finite-difference methods for solving loaded parabolic equations
- Authors: Abdullayev V.M.1,2, Aida-zade K.R.2,3
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Affiliations:
- Azerbaijan State University of Oil and Industry
- Institute of Control Systems
- Institute of Mathematics and Mechanics
- Issue: Vol 56, No 1 (2016)
- Pages: 93-105
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/178221
- DOI: https://doi.org/10.1134/S0965542516010036
- ID: 178221
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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.
About the authors
V. M. Abdullayev
Azerbaijan State University of Oil and Industry; Institute of Control Systems
Author for correspondence.
Email: vaqif_ab@rambler.ru
Azerbaijan, pr. Azadlyg 20, Baku, AZ1010; Baku
K. R. Aida-zade
Institute of Control Systems; Institute of Mathematics and Mechanics
Email: vaqif_ab@rambler.ru
Azerbaijan, Baku; ul. B. Vagabzade 9, Baku, AZ1141
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