Convergence of numerical approximations to a fourth order boundary value problem
- 1 January 1980
- journal article
- research article
- Published by Taylor & Francis in International Journal of Computer Mathematics
- Vol. 8 (3) , 265-270
- https://doi.org/10.1080/00207168008803211
Abstract
A convergence theorem is obtained for numerical methods applied to the plate deflection boundary value problem. It is shown that if an approximation of O(hm ) is used at interior points and at least O(hm-2 )is used at boundary points then the results are O(hm-4 ) provided certain conditions are satisfied. A sixth order method is described in detail.Keywords
This publication has 2 references indexed in Scilit:
- Discrete methods for boundary value problems with applications in plate deflection theoryZeitschrift für angewandte Mathematik und Physik, 1979
- An O(h6) Finite Difference Analogue for the Solution of Some Differential Equations Occurring in Plate Deflection TheoryIMA Journal of Applied Mathematics, 1977