A three-time-level explicit difference scheme of the second order of accuracy for parabolic equations
โ Scribed by A. S. Shvedov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1996
- Tongue
- English
- Weight
- 380 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
tbstract-
In this paper, a three explicit difference shcemes with high order accuracy for solving the equations of two-dimensional parabolic type is proposed. The stability condition is r= At/Ax 2 =At/Ay2~I/I and the truncation error is O(/kt~+ Axe).
We shall use below the local nurabering of the nodes, assigning local numbers 1,2,3 respectively to the nodes with coordinates (z,-,, it), (zm+t, tk), (x~, t~+,) . On Taylor-expanding the functions u, F up to second order terms in the neighborhoods of the nodes, we can write approximately ~m+| \*m