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Article

Variable Step Block Hybrid Method for Stiff Chemical Kinetics Problems

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Department of Fundamental and Applied Sciences, Faculty of Science and Information Technology, Universiti Teknologi PETRONAS, Seri Iskandar 32610, Perak, Malaysia
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Department of Mathematics, Faculty of Natural Sciences, University of Jos, Jos 930003, Nigeria
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Centre for Foundation Studies, Universiti Teknologi PETRONAS, Seri Iskandar 32610, Perak, Malaysia
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Department of Information System, Universitas Islam Indragiri, Tembilahan 29281, Indonesia
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Department of Food Science, Universitas Islam Indragiri, Tembilahan 29281, Indonesia
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Department of Informatics Engineering, Faculty of Engineering, Universitas Islam Riau, Tembilahan 28284, Indonesia
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Authors to whom correspondence should be addressed.
Academic Editor: Giorgio Biasiol
Appl. Sci. 2022, 12(9), 4484; https://doi.org/10.3390/app12094484
Received: 6 April 2022 / Revised: 25 April 2022 / Accepted: 26 April 2022 / Published: 28 April 2022
(This article belongs to the Topic Engineering Mathematics)
Integration of a larger stiff system of initial value problems emerging from chemical kinetics models requires a method that is both efficient and accurate, with a large absolute stability region. To determine the solutions of the stiff chemical kinetics ordinary differential equations that help in explaining chemically reactive flows, a numerical integration methodology known as the 3-point variable step block hybrid method has been devised. An appropriate time step is automatically chosen to give accurate results. To check the efficiency of the new method, the numerical integration of a few renowned stiff chemical problems is evaluated such as Belousov–Zhabotinskii reaction and Hires, which are widely used in numerical studies. The results generated are then compared with the MATLAB stiff solver, ode15s. View Full-Text
Keywords: variable step hybrid block; stiff; chemical kinetics models; ode15s variable step hybrid block; stiff; chemical kinetics models; ode15s
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MDPI and ACS Style

Soomro, H.; Zainuddin, N.; Daud, H.; Sunday, J.; Jamaludin, N.; Abdullah, A.; Apriyanto, M.; Kadir, E.A. Variable Step Block Hybrid Method for Stiff Chemical Kinetics Problems. Appl. Sci. 2022, 12, 4484. https://doi.org/10.3390/app12094484

AMA Style

Soomro H, Zainuddin N, Daud H, Sunday J, Jamaludin N, Abdullah A, Apriyanto M, Kadir EA. Variable Step Block Hybrid Method for Stiff Chemical Kinetics Problems. Applied Sciences. 2022; 12(9):4484. https://doi.org/10.3390/app12094484

Chicago/Turabian Style

Soomro, Hira, Nooraini Zainuddin, Hanita Daud, Joshua Sunday, Noraini Jamaludin, Abdullah Abdullah, Mulono Apriyanto, and Evizal Abdul Kadir. 2022. "Variable Step Block Hybrid Method for Stiff Chemical Kinetics Problems" Applied Sciences 12, no. 9: 4484. https://doi.org/10.3390/app12094484

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