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A NEW TIME-STEPPING SCHEME FOR THE NETWORK MODELLING OF DIFFUSION

โœ Scribed by WONG, CHI CHUNG ;XIAO, HUA

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
156 KB
Volume
13
Category
Article
ISSN
1069-8299

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โœฆ Synopsis

A new class of formulas for the time integration of the network model of diusion is described. The method uses time polynomials to model the potentials in the diusion ยฎeld. These formulas have been implemented and tested together with the classic CrankยฑNicolson (CN) scheme. Based on the chosen example, it is shown that the overall accuracy of the ยฎrst-order formula is slightly better than for the CN scheme, and the secondorder formula shows a further improvement. No spurious oscillations are generated. Using piecewise linearization non-linear problems are also solved. It is shown that a relatively large time step may be used without loss of accuracy.

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