About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

First Page Preview
Dinh, Ta Van
Some fast finite-difference solvers for two-dimensional evolutionary equations on special domains. (English). Aplikace matematiky, vol. 27 (1982), issue 5, pp. 313-318
MSC: 35G10, 35K25, 65M15, 65N12, 65N15 | MR 0674977 | Zbl 0502.65063 | DOI: 10.21136/AM.1982.103978
Keywords:
asymptotic error expansion; Peaceman-Rachford; Richardson extrapolation; accelerating the convergence; numerical example
Summary:
The author proves the existence of the asymptotic error expansion to the Peaceman-Rachford finite-difference scheme for the first boundary value problem of the two-dimensional evolationary equation on the so-called uniform and nearly uniform domains. This expansion leads, by Richardson extrapolation, to a simple process for accelerating the convergence of the method. A numerical example is given.
References:
[1] O. B. Widlund: Some recent applications of asymptotic error expansions to finite difference schemes. Proc. Roy. Soc. London, A 323, N. 1553, 1971, 167-177. MR 0495006 | Zbl 0221.65005
Partner of
EuDML logo