A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative

A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative

In this paper, we consider the nonlinear boundary value problems involving the Caputo fractional derivatives of order α∈ (1 , 2) on the interval (0, T). We present a Legendre spectral collocation method for the Caputo fractional boundary value problems. We derive the error bounds of the Legendre col...

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Bibliographic Details
Main Authors: Wang, Chuanli, Wang, Zhongqing, Wang, Lilian
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2020
Subjects:
Science::Mathematics
Spectral Collocation Method
Caputo Fractional Derivative
Online Access:https://hdl.handle.net/10356/139551
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Institution: Nanyang Technological University
Language: English
Description
Summary:In this paper, we consider the nonlinear boundary value problems involving the Caputo fractional derivatives of order α∈ (1 , 2) on the interval (0, T). We present a Legendre spectral collocation method for the Caputo fractional boundary value problems. We derive the error bounds of the Legendre collocation method under the L2- and L∞-norms. Numerical experiments are included to illustrate the theoretical results.

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