Finite-difference methods for solving loaded parabolic equations


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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.

Sobre autores

V. Abdullayev

Azerbaijan State University of Oil and Industry; Institute of Control Systems

Autor responsável pela correspondência
Email: vaqif_ab@rambler.ru
Azerbaijão, pr. Azadlyg 20, Baku, AZ1010; Baku

K. Aida-zade

Institute of Control Systems; Institute of Mathematics and Mechanics

Email: vaqif_ab@rambler.ru
Azerbaijão, Baku; ul. B. Vagabzade 9, Baku, AZ1141

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