Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part 8, Tome 159 (1987), pp. 132-142
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A. P. Kubanskaya. The method of lines in application to some two-dimensional nonlinear parabolic equations. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part 8, Tome 159 (1987), pp. 132-142. http://geodesic.mathdoc.fr/item/ZNSL_1987_159_a13/
@article{ZNSL_1987_159_a13,
author = {A. P. Kubanskaya},
title = {The method of lines in application to some two-dimensional nonlinear parabolic equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {132--142},
year = {1987},
volume = {159},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_159_a13/}
}
TY - JOUR
AU - A. P. Kubanskaya
TI - The method of lines in application to some two-dimensional nonlinear parabolic equations
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1987
SP - 132
EP - 142
VL - 159
UR - http://geodesic.mathdoc.fr/item/ZNSL_1987_159_a13/
LA - ru
ID - ZNSL_1987_159_a13
ER -
%0 Journal Article
%A A. P. Kubanskaya
%T The method of lines in application to some two-dimensional nonlinear parabolic equations
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 132-142
%V 159
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_159_a13/
%G ru
%F ZNSL_1987_159_a13
We consider the first mixed problem for nonlinear parabolic equation. Assuming that the exact solution of the problem is $u(t,x,y)\in C^{4,0}(Q)$, $Q=\{(x,y)\in\Omega,0\leq t\leq T\}$ we construct a scheme of the method of straight lines of accuracy $O(h^2)$ for the cases when $\Omega$ is a rectangle or a trapezoid.
