کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1704082 1012398 2014 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Spectral collocation method for linear fractional integro-differential equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Spectral collocation method for linear fractional integro-differential equations
چکیده انگلیسی

In this paper, we propose and analyze a spectral Jacobi-collocation method for the numerical solution of general linear fractional integro-differential equations. The fractional derivatives are described in the Caputo sense. First, we use some function and variable transformations to change the equation into a Volterra integral equation defined on the standard interval [-1,1][-1,1]. Then the Jacobi–Gauss points are used as collocation nodes and the Jacobi–Gauss quadrature formula is used to approximate the integral equation. Later, the convergence order of the proposed method is investigated in the infinity norm. Finally, some numerical results are given to demonstrate the effectiveness of the proposed method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 38, Issue 4, 15 February 2014, Pages 1434–1448
نویسندگان
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