Variable Step Block Hybrid Method for Stiff Chemical Kinetics Problems

被引：6

作者：

Soomro, Hira ^{[1
]}

Zainuddin, Nooraini ^{[1
]}

Daud, Hanita ^{[1
]}

Sunday, Joshua ^{[2
]}

Jamaludin, Noraini ^{[3
]}

Abdullah, Abdullah ^{[4
]}

Apriyanto, Mulono ^{[5
]}

Kadir, Evizal Abdul ^{[6
]}

机构：

[1] Univ Teknol PETRONAS, Dept Fundamental & Appl Sci, Fac Sci & Informat Technol, Seri Iskandar 32610, Perak, Malaysia

[2] Univ Jos, Fac Nat Sci, Dept Math, Jos 930003, Nigeria

[3] Univ Teknol PETRONAS, Ctr Fdn Studies, Seri Iskandar 32610, Perak, Malaysia

[4] Univ Islam Indragiri, Dept Informat Syst, Tembilahan 29281, Indonesia

[5] Univ Islam Indragiri, Dept Food Sci, Tembilahan 29281, Indonesia

[6] Univ Islam Riau, Fac Engn, Dept Informat Engn, Tembilahan 28284, Indonesia

来源：

APPLIED SCIENCES-BASEL | 2022年 / 12卷 / 09期

关键词：

variable step hybrid block; stiff; chemical kinetics models; ode15s; BACKWARD DIFFERENTIATION FORMULA; NUMERICAL-SOLUTION; IMPLEMENTATION; EQUATIONS;

D O I：

10.3390/app12094484

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

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.

引用

页数：18

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