Nonpolynomial numerical scheme for fourth-order fractional sub-diffusion equations

Nonpolynomial numerical scheme for fourth-order fractional sub-diffusion equations

We shall develop a high order numerical scheme for a fourth-order fractional sub-diffusion problem. Theoretical results will be established in maximum norm and it is shown that the convergence order is higher than some earlier work done. Numerical experiments will be carried out to demonstrate the e...

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Main Authors: Li, Xuhao, Wong, Patricia Jia Yiing
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2018
Subjects:
DRNTU::Engineering::Electrical and electronic engineering
Numerical Scheme
Fractional Sub-diffusion
Online Access:https://hdl.handle.net/10356/88959
http://hdl.handle.net/10220/46029
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-889592020-03-07T13:57:26Z Nonpolynomial numerical scheme for fourth-order fractional sub-diffusion equations Li, Xuhao Wong, Patricia Jia Yiing School of Electrical and Electronic Engineering International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2016) DRNTU::Engineering::Electrical and electronic engineering Numerical Scheme Fractional Sub-diffusion We shall develop a high order numerical scheme for a fourth-order fractional sub-diffusion problem. Theoretical results will be established in maximum norm and it is shown that the convergence order is higher than some earlier work done. Numerical experiments will be carried out to demonstrate the efficiency of the proposed scheme as well as to compare with other methods. Published version 2018-09-19T04:59:08Z 2019-12-06T17:14:38Z 2018-09-19T04:59:08Z 2019-12-06T17:14:38Z 2017 Journal Article Li, X., & Wong, P. J. Y. (2017). Nonpolynomial numerical scheme for fourth-order fractional sub-diffusion equations. AIP Conference Proceedings, 1863, 190002-. doi:10.1063/1.4992370 0094-243X https://hdl.handle.net/10356/88959 http://hdl.handle.net/10220/46029 10.1063/1.4992370 en AIP Conference Proceedings © 2017 The Author(s) (Published by AIP). This paper was published in AIP Conference Proceedings and is made available as an electronic reprint (preprint) with permission of the author(s) (published by AIP). The published version is available at: [http://dx.doi.org/10.1063/1.4992370]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 4 p. application/pdf
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic DRNTU::Engineering::Electrical and electronic engineering
Numerical Scheme
Fractional Sub-diffusion
spellingShingle DRNTU::Engineering::Electrical and electronic engineering
Numerical Scheme
Fractional Sub-diffusion
Li, Xuhao
Wong, Patricia Jia Yiing
Nonpolynomial numerical scheme for fourth-order fractional sub-diffusion equations
description We shall develop a high order numerical scheme for a fourth-order fractional sub-diffusion problem. Theoretical results will be established in maximum norm and it is shown that the convergence order is higher than some earlier work done. Numerical experiments will be carried out to demonstrate the efficiency of the proposed scheme as well as to compare with other methods.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Li, Xuhao
Wong, Patricia Jia Yiing
format Article
author Li, Xuhao
Wong, Patricia Jia Yiing
author_sort Li, Xuhao
title Nonpolynomial numerical scheme for fourth-order fractional sub-diffusion equations
title_short Nonpolynomial numerical scheme for fourth-order fractional sub-diffusion equations
title_full Nonpolynomial numerical scheme for fourth-order fractional sub-diffusion equations
title_fullStr Nonpolynomial numerical scheme for fourth-order fractional sub-diffusion equations
title_full_unstemmed Nonpolynomial numerical scheme for fourth-order fractional sub-diffusion equations
title_sort nonpolynomial numerical scheme for fourth-order fractional sub-diffusion equations
publishDate 2018
url https://hdl.handle.net/10356/88959
http://hdl.handle.net/10220/46029
_version_ 1681045464273649664

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