کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6421981 1631834 2013 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On Vergnaud's time integration method for autocatalytic cure rate equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On Vergnaud's time integration method for autocatalytic cure rate equations
چکیده انگلیسی

A hybrid numerical-analytical scheme for time integration of the cure rate equation, governing the autocatalytic cure reaction of epoxy resins, is presented. The method is an extension of Vergnaud's approach for the integration of heterocatalytic cure reactions of epoxy resins. It is applicable to first order, semi-linear, ordinary differential equations with separated variables, where the integration of the dependent variable can be obtained analytically. Numerical quadrature is used for the integration of the independent variable, which appears in a time-dependent integral of an Arrhenius term containing temperature. Consistency and L-stability of the method are proved and some error estimates are provided. Several numerical results validate the high accuracy of the proposed integration scheme.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 220, 1 September 2013, Pages 748-755
نویسندگان
, ,