Application of the differential-difference method to the problem of bending for a rectangular orthotropic plate
Article
- 15 Downloads
Abstract
Under certain conditions on the smoothness of the exact solution of the problem, the author proves the uniform convergence with order h2p−1 of the 4p+1 -point scheme of the method of lines in the following cases: 1) two opposite edges of the plate are fixed rigidly, while the other two rest freely; 2) all edges of the plate rest freely.
Keywords
Exact Solution Uniform Convergence Opposite Edge Orthotropic Plate Point Scheme
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
Literature cited
- 1.A. P. Kubanskaya, “Convergence of the scheme of the method of lines of higher accuracy for the problem of bending of a rectangular orthotropic plate,” J. Sov. Math.,24, No. 1 (1984).Google Scholar
- 2.S. G. Lekhnitskii, Anisotropic Plates [in Russian], Moscow-Leningrad (1947).Google Scholar
- 3.L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], 5th ed., Moscow-Leningrad (1962).Google Scholar
- 4.A. P. Kubanskaya, “Construction and estimation of convergence of a multi-point scheme for the problem of bending of rectangular orthotropic plates with freely resting edges,” Zap. Nauchn. Sem. LOMI,80, 66–82 (1978).Google Scholar
- 5.E. Kamke, Handbook of Ordinary Differential Equations [in German], Chelsea Publ.Google Scholar
Copyright information
© Plenum Publishing Corporation 1985