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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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
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spelling sg-ntu-dr.10356-1395512020-05-20T05:22:36Z A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative Wang, Chuanli Wang, Zhongqing Wang, Lilian School of Physical and Mathematical Sciences Science::Mathematics Spectral Collocation Method Caputo Fractional 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 collocation method under the L2- and L∞-norms. Numerical experiments are included to illustrate the theoretical results. MOE (Min. of Education, S’pore) 2020-05-20T05:22:36Z 2020-05-20T05:22:36Z 2017 Journal Article Wang, C., Wang, Z., & Wang, L. (2018). A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative. Journal of Scientific Computing, 76(1), 166-188. doi:10.1007/s10915-017-0616-3 0885-7474 https://hdl.handle.net/10356/139551 10.1007/s10915-017-0616-3 2-s2.0-85035354035 1 76 166 188 en Journal of Scientific Computing © 2017 Springer Science+Business Media, LLC, part of Springer Nature. All rights reserved.
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic Science::Mathematics
Spectral Collocation Method
Caputo Fractional Derivative
spellingShingle Science::Mathematics
Spectral Collocation Method
Caputo Fractional Derivative
Wang, Chuanli
Wang, Zhongqing
Wang, Lilian
A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative
description 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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Wang, Chuanli
Wang, Zhongqing
Wang, Lilian
format Article
author Wang, Chuanli
Wang, Zhongqing
Wang, Lilian
author_sort Wang, Chuanli
title A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative
title_short A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative
title_full A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative
title_fullStr A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative
title_full_unstemmed A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative
title_sort spectral collocation method for nonlinear fractional boundary value problems with a caputo derivative
publishDate 2020
url https://hdl.handle.net/10356/139551
_version_ 1681058401551908864

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