Finite difference schemes on nonuniform meshes for parabolic equation withvariable coefficients and generalized solutions

Authors
Jovanovich, BS Matus, PP Shcheglik, VS
Citation
Bs. Jovanovich et al., Finite difference schemes on nonuniform meshes for parabolic equation withvariable coefficients and generalized solutions, DAN BELARUS, 42(6), 1998, pp. 38-44
Citations number
7
Categorie Soggetti
Multidisciplinary
Journal title
DOKLADY AKADEMII NAUK BELARUSI
ISSN journal
0002354X → ACNP
Volume
42
Issue
6
Year of publication
1998
Pages
38 - 44
Database
ISI
SICI code
0002-354X(199811/12)42:6<38:FDSONM>2.0.ZU;2-B
Abstract
The convergence rate of finite difference schemes approximating the first i nitial-boundary value problem for one-dimensional heat equation with variab le coefficient on nonuniform meshes is studied. For an implicit second orde r difference scheme with averaged right-hand side a convergence rate estima te in discrete L-2-norm of order O(h(2)+tau) is obtained for the case of ge neralized solutions from W-2(2,1)(Q).