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An efficient numerical scheme for precise time integration of a diffusion-dissolution/precipitation chemical system. (English) Zbl 1107.65082
Based on an operator splitting method and a dense output event location algorithm, the authors propose a numerical scheme to integrate a diffusion-dissolution/precipitation chemical initial-boundary value problem with jumping nonlinearities. They present a numerical analysis for the scheme and show that it is of order 2 in time. Numerical experiments illustrate the theoretical results.

65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
35K57 Reaction-diffusion equations
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
80A30 Chemical kinetics in thermodynamics and heat transfer
Full Text: DOI
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