Numerical solution of stiff systems of differential equations arising from chemical reactions

Iranian Journal of Numerical Analysis and Optimization

مقاله 2، دوره 4، شماره 1 - شماره پیاپی 5، مرداد 2014، صفحه 25-39   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v4i1.25339

نویسندگان

G. Hojjati^{* 1}؛ A. Abdi¹؛ F. Mirzaee²؛ S. Bimesl²

¹Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.

²Department of Mathematics, Faculty of Science, Malayer University, Malayer, Iran

چکیده

Long time integration of large stiff systems of initial value problems, arising from chemical reactions, demands efficient methods with good accuracy and extensive absolute stability region. In this paper, we apply second derivative general linear methods to solve some stiff chemical problems such as chemical Akzo Nobel problem, HIRES problem and OREGO problem.

کلیدواژه‌ها

General linear methods؛ Ordinary differential equation؛ Chemical reactions؛ Stiff systems

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