THREE-STEP BLOCK INTEGRATORS BASED ON TOP ORDER METHODS FOR SOLUTIONS OF STIFF CHEMICAL KINETICS PROBLEMS
DOI:
https://doi.org/10.33003/fjs-2026-1001-4331Keywords:
Top order methods, Three-Step Block Integrators, Chemical kinetics, Stability analysisAbstract
In this research, a three-step class of numerically stable block integrators based on top order methods was developed for solutions of stiff chemical kinetic problems. Firstly, the discrete schemes of the method were obtained from the same continuous formulation using the multistep collocation approach as block integrators. Secondly, Stability analysis of the newly derived method was carried out and it has shown to be consistent, zero-stable and A-stable. Numerical results were generated to investigate the influence of top order methods on stiff chemical kinetics problems. the results showed that the new method compare favourably with existing methods in the literature.
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Copyright (c) 2026 Anne Felix Katniyon, Kumleng, Geofrey Micah
This work is licensed under a Creative Commons Attribution 4.0 International License.
