Finite-difference methods for solving loaded parabolic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 1, pp. 99-112
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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.
@article{ZVMMF_2016_56_1_a4,
author = {V. M. Abdullayev and K. R. Aida-zade},
title = {Finite-difference methods for solving loaded parabolic equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {99--112},
publisher = {mathdoc},
volume = {56},
number = {1},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_1_a4/}
}
TY - JOUR AU - V. M. Abdullayev AU - K. R. Aida-zade TI - Finite-difference methods for solving loaded parabolic equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2016 SP - 99 EP - 112 VL - 56 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_1_a4/ LA - ru ID - ZVMMF_2016_56_1_a4 ER -
%0 Journal Article %A V. M. Abdullayev %A K. R. Aida-zade %T Finite-difference methods for solving loaded parabolic equations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2016 %P 99-112 %V 56 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_1_a4/ %G ru %F ZVMMF_2016_56_1_a4
V. M. Abdullayev; K. R. Aida-zade. Finite-difference methods for solving loaded parabolic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 1, pp. 99-112. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_1_a4/