کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1708462 1012824 2013 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
High order finite difference WENO schemes for fractional differential equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
High order finite difference WENO schemes for fractional differential equations
چکیده انگلیسی

This letter develops high order finite difference weighted essentially non-oscillatory (WENO) schemes for fractional differential equations. First, the ααth, 1<α≤21<α≤2, Caputo fractional derivative is split into a classical second derivative and a weakly singular integral. Then the sixth-order finite difference WENO scheme is used to discretize the classical second derivative and the Gauss–Jacobi quadrature is applied to solve the weakly singular integral. The constructed scheme of approximation for the fractional derivative has high order accuracy in smooth regions and maintains a sharp discontinuity transition. Finally, numerical experiments are performed to demonstrate the effectiveness of the proposed schemes.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 26, Issue 3, March 2013, Pages 362–366
نویسندگان
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