کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6422884 1632035 2014 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Orthogonal spline collocation methods for the subdiffusion equation
ترجمه فارسی عنوان
روش های جابجایی اسپلین های متعامد برای معادله زیر دیسپش
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
We develop two kinds of numerical schemes to efficiently solve the subdiffusion equation, which is used to describe anomalous subdiffusive transport processes. The time fractional derivative is first discretized by L1-approximation and the Grünwald-Letnikov approximation, respectively. Then we use the orthogonal spline collocation method to approximate the two semi-discretized subdiffusion equations. The stability and convergence of time semi-discretization and full discretization schemes are both established strictly for the two schemes. Both of them are unconditionally stable. Numerically the convergent orders in space (including the solution and its first derivative) are four for the Hermite cubic spline approximation, and theoretically we get that at least the solution itself has a fourth order convergent rate. Extensive numerical results are presented to show the convergent order and robustness of the numerical schemes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 255, 1 January 2014, Pages 517-528
نویسندگان
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