On the rate of convergence of finite difference schemes on nonuniform grids
- 1 January 1985
- journal article
- research article
- Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- Vol. 26 (3) , 247-256
- https://doi.org/10.1017/s0334270000004495
Abstract
Finite difference schemes for some two point boundary value problems are analysed. It is found that for schemes defined on nonuniform grids, the order of the local truncation error does not fully reflect the rate of convergence of the numerical approximation obtained. Numerical results are presented that indicate that this is also the case for higher dimensional problems.Keywords
This publication has 2 references indexed in Scilit:
- Nonuniform grid method for turbulent boundary layersPublished by Springer Nature ,2005
- Some computational problems in boundary-layer flowsPublished by Springer Nature ,2005