Variable Step Block Hybrid Method for Stiff Chemical Kinetics Problems
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...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-04-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/9/4484 |
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| author | Hira Soomro Nooraini Zainuddin Hanita Daud Joshua Sunday Noraini Jamaludin Abdullah Abdullah Mulono Apriyanto Evizal Abdul Kadir |
| author_facet | Hira Soomro Nooraini Zainuddin Hanita Daud Joshua Sunday Noraini Jamaludin Abdullah Abdullah Mulono Apriyanto Evizal Abdul Kadir |
| author_sort | Hira Soomro |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T04:20:51Z |
| format | Article |
| id | doaj.art-5535234bc47e46d9bd6db129d411cb01 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T04:20:51Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-5535234bc47e46d9bd6db129d411cb012023-11-23T07:49:38ZengMDPI AGApplied Sciences2076-34172022-04-01129448410.3390/app12094484Variable Step Block Hybrid Method for Stiff Chemical Kinetics ProblemsHira Soomro0Nooraini Zainuddin1Hanita Daud2Joshua Sunday3Noraini Jamaludin4Abdullah Abdullah5Mulono Apriyanto6Evizal Abdul Kadir7Department of Fundamental and Applied Sciences, Faculty of Science and Information Technology, Universiti Teknologi PETRONAS, Seri Iskandar 32610, Perak, MalaysiaDepartment of Fundamental and Applied Sciences, Faculty of Science and Information Technology, Universiti Teknologi PETRONAS, Seri Iskandar 32610, Perak, MalaysiaDepartment of Fundamental and Applied Sciences, Faculty of Science and Information Technology, Universiti Teknologi PETRONAS, Seri Iskandar 32610, Perak, MalaysiaDepartment of Mathematics, Faculty of Natural Sciences, University of Jos, Jos 930003, NigeriaCentre for Foundation Studies, Universiti Teknologi PETRONAS, Seri Iskandar 32610, Perak, MalaysiaDepartment of Information System, Universitas Islam Indragiri, Tembilahan 29281, IndonesiaDepartment of Food Science, Universitas Islam Indragiri, Tembilahan 29281, IndonesiaDepartment of Informatics Engineering, Faculty of Engineering, Universitas Islam Riau, Tembilahan 28284, IndonesiaIntegration 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.https://www.mdpi.com/2076-3417/12/9/4484variable step hybrid blockstiffchemical kinetics modelsode15s |
| spellingShingle | Hira Soomro Nooraini Zainuddin Hanita Daud Joshua Sunday Noraini Jamaludin Abdullah Abdullah Mulono Apriyanto Evizal Abdul Kadir Variable Step Block Hybrid Method for Stiff Chemical Kinetics Problems Applied Sciences variable step hybrid block stiff chemical kinetics models ode15s |
| title | Variable Step Block Hybrid Method for Stiff Chemical Kinetics Problems |
| title_full | Variable Step Block Hybrid Method for Stiff Chemical Kinetics Problems |
| title_fullStr | Variable Step Block Hybrid Method for Stiff Chemical Kinetics Problems |
| title_full_unstemmed | Variable Step Block Hybrid Method for Stiff Chemical Kinetics Problems |
| title_short | Variable Step Block Hybrid Method for Stiff Chemical Kinetics Problems |
| title_sort | variable step block hybrid method for stiff chemical kinetics problems |
| topic | variable step hybrid block stiff chemical kinetics models ode15s |
| url | https://www.mdpi.com/2076-3417/12/9/4484 |
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