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A mollification based operator splitting method for convection diffusion equations

✍ Scribed by Carlos D. Acosta; Carlos E. Mejía

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
844 KB
Volume
59
Category
Article
ISSN
0898-1221

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✦ Synopsis

The main goal of this paper is to show that discrete mollification is a suitable ingredient in operator splitting methods for the numerical solution of nonlinear convection-diffusion equations. In order to achieve this goal, we substitute the second step of the operator splitting method of Karlsen and Risebro (1997) [1] for a mollification step and prove that the convergence features are fairly well preserved. We end the paper with illustrative numerical experiments.

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