کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8068777 1521118 2015 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical solution of matrix exponential in burn-up equation using mini-max polynomial approximation
ترجمه فارسی عنوان
راه حل عددی ماتریس معادله در معادله سوختن با استفاده از تقریب چند جمله ای مینی حداکثر
موضوعات مرتبط
مهندسی و علوم پایه مهندسی انرژی مهندسی انرژی و فناوری های برق
چکیده انگلیسی
Nuclear fuel burn-up depletion calculations are essential to compute the nuclear fuel composition transition. In the burn-up calculations, the matrix exponential method has been widely used. In the present paper, we propose a new numerical solution of the matrix exponential, a Mini-Max Polynomial Approximation (MMPA) method. This method is numerically stable for burn-up matrices with extremely short half-lived nuclides as the Chebyshev Rational Approximation Method (CRAM), and it has several advantages over CRAM. We also propose a multi-step calculation, a computational time reduction scheme of the MMPA method, which can perform simultaneously burn-up calculations with several time periods. The applicability of these methods has been theoretically and numerically proved for general burn-up matrices. The numerical verification has been performed, and it has been shown that these methods have high precision equivalent to CRAM.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Nuclear Energy - Volume 80, June 2015, Pages 219-224
نویسندگان
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