Consistency of Iterative Operator-Splitting Methods: Theory and Applications
نویسنده
چکیده
In this paper we describe a different operator-splitting method for decoupling complex equations with multi-dimensional and multiphysical processes for applications for porous media and phase-transitions. We introduce different operator-splitting methods with respect to their usability and applicability in computer codes. The error-analysis for the iterative operator-splitting methods is discussed. Numerical examples are presented. Keyword numerical analysis, operator-splitting method, initial value problems, iterative solver method, consistency analysis, convection-diffusion-reaction equation. AMS subject classifications. 35J60, 35J65, 65M99, 65N12, 65Z05, 74S10, 76R50.
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