کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471231 698608 2008 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Comparison of some recent numerical methods for initial-value problems for stiff ordinary differential equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Comparison of some recent numerical methods for initial-value problems for stiff ordinary differential equations
چکیده انگلیسی

We consider the combustion equation as one of the candidates from the class of stiff ordinary differential equations. A solution over a length of time that is inversely proportional to δ>0δ>0 (where δ>0δ>0 is a small disturbance of the pre-ignition state) is sought. This problem has a transient at the midpoint of the integration interval. The solution changes from being non-stiff to stiff, and afterwards becomes non-stiff again. We provide its asymptotic and numerical solution obtained via a variety of methods. Comparisons are made for the numerical results which we obtain with the MATLAB ode solvers (ode45, ode15s and ode23s) and some nonstandard finite difference methods. Results corresponding to standard finite difference method are also presented. Furthermore, the discussion on these approaches along with the others, provides several open problems for new and young researchers.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 55, Issue 4, February 2008, Pages 733–744
نویسندگان
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