کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5775744 1631745 2017 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A second order Crank-Nicolson scheme for fractional Cattaneo equation based on new fractional derivative
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A second order Crank-Nicolson scheme for fractional Cattaneo equation based on new fractional derivative
چکیده انگلیسی
Recently Caputo and Fabrizio introduce a new derivative with fractional order which has the ability to describe the material heterogeneities and the fluctuations of different scales. In this article, a Crank-Nicolson finite difference scheme to solve fractional Cattaneo equation based on the new fractional derivative is introduced and analyzed. Some a priori estimates of discrete L∞(L2) errors with optimal order of convergence rate O(τ2+h2) are established on uniform partition. Moreover, the applicability and accuracy of the scheme are demonstrated by numerical experiments to support our theoretical analysis.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 311, 15 October 2017, Pages 361-374
نویسندگان
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