An efficient numerical scheme for precise time integration of a diffusion-dissolution/precipitation chemical system

Faugeras, Blaise; Pousin, Jérôme; Fontvieille, Franck

doi:10.1090/S0025-5718-05-01782-5

An efficient numerical scheme for precise time integration of a diffusion-dissolution/precipitation chemical system
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by Blaise Faugeras, Jérôme Pousin and Franck Fontvieille PDF

Math. Comp. 75 (2006), 209-222 Request permission

Abstract:

A numerical scheme based on an operator splitting method and a dense output event location algorithm is proposed to integrate a diffusion-dissolution/precipitation chemical initial-boundary value problem with jumping nonlinearities. The numerical analysis of the scheme is carried out and it is proved to be of order 2 in time. This global order estimate is illustrated numerically on a test case.

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