An optimized solution for the diffusion equation on a non‐uniform grid
- 1 March 1984
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 20 (3) , 465-477
- https://doi.org/10.1002/nme.1620200306
Abstract
A lowest order difference scheme has been developed for a spatially non‐uniform grid such that the integrated square error is a minimum. This algorithm accommodates grid asymmetry and maintains reasonable accuracy without recourse to higher order approximations. Numerical experiments and computations of the Fourier response factor confirm the performance of the optimized asymmetric algorithm.Keywords
This publication has 1 reference indexed in Scilit:
- Fractional step algorithm for estuarine mass transportInternational Journal for Numerical Methods in Fluids, 1983