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Multi-implicit methods with a second derivative for stiff systems of ordinary differential equations are described. An algorithm for automatic step size control and selection based on multi-implicit methods of the… Click to show full abstract
Multi-implicit methods with a second derivative for stiff systems of ordinary differential equations are described. An algorithm for automatic step size control and selection based on multi-implicit methods of the eighth and sixth orders of accuracy is proposed. The efficiency of the variable step size methods is demonstrated as applied to nonequilibrium kinetics of chemical reactions describing an explosion of a hydrogen–oxygen mixture consisting of six species (H2, O2, H, O, OH, H2O).
Keywords:
methods automatic;
implicit methods;
control;
automatic error;
multi implicit;
chemical reactions
Journal Title: Computational Mathematics and Mathematical Physics
Year Published: 2019
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Journal Title: Computational Mathematics and Mathematical Physics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!