Parametric quintic spline approach for two-dimensional fractional sub-diffusion equation

Parametric quintic spline approach for two-dimensional fractional sub-diffusion equation

In this paper, we shall tackle the numerical treatment of two-dimensional fractional sub-diffusion equations using parametric quintic spline. It is shown that this numerical scheme is solvable, stable and convergent with high accuracy which improves some earlier work. Finally, we carry out an experi...

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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
Parametric Quintic Spline
Two-dimensional Fractional Sub-diffusion
Online Access:https://hdl.handle.net/10356/88659
http://hdl.handle.net/10220/45900
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-886592020-03-07T14:02:36Z Parametric quintic spline approach for two-dimensional fractional sub-diffusion equation Li, Xuhao Wong, Patricia Jia Yiing School of Electrical and Electronic Engineering INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017) DRNTU::Engineering::Electrical and electronic engineering Parametric Quintic Spline Two-dimensional Fractional Sub-diffusion In this paper, we shall tackle the numerical treatment of two-dimensional fractional sub-diffusion equations using parametric quintic spline. It is shown that this numerical scheme is solvable, stable and convergent with high accuracy which improves some earlier work. Finally, we carry out an experiment to demonstrate the efficiency of our numerical scheme. Published version 2018-09-07T04:39:53Z 2019-12-06T17:08:14Z 2018-09-07T04:39:53Z 2019-12-06T17:08:14Z 2018 Journal Article Li, X., & Wong, P. J. Y. (2018). Parametric quintic spline approach for two-dimensional fractional sub-diffusion equation. AIP Conference Proceedings, 1978(1), 130007-. doi:10.1063/1.5043780 0094-243X https://hdl.handle.net/10356/88659 http://hdl.handle.net/10220/45900 10.1063/1.5043780 en AIP Conference Proceedings © 2018 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/10.1063/1.5043780]. 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
Parametric Quintic Spline
Two-dimensional Fractional Sub-diffusion
spellingShingle DRNTU::Engineering::Electrical and electronic engineering
Parametric Quintic Spline
Two-dimensional Fractional Sub-diffusion
Li, Xuhao
Wong, Patricia Jia Yiing
Parametric quintic spline approach for two-dimensional fractional sub-diffusion equation
description In this paper, we shall tackle the numerical treatment of two-dimensional fractional sub-diffusion equations using parametric quintic spline. It is shown that this numerical scheme is solvable, stable and convergent with high accuracy which improves some earlier work. Finally, we carry out an experiment to demonstrate the efficiency of our numerical scheme.
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 Parametric quintic spline approach for two-dimensional fractional sub-diffusion equation
title_short Parametric quintic spline approach for two-dimensional fractional sub-diffusion equation
title_full Parametric quintic spline approach for two-dimensional fractional sub-diffusion equation
title_fullStr Parametric quintic spline approach for two-dimensional fractional sub-diffusion equation
title_full_unstemmed Parametric quintic spline approach for two-dimensional fractional sub-diffusion equation
title_sort parametric quintic spline approach for two-dimensional fractional sub-diffusion equation
publishDate 2018
url https://hdl.handle.net/10356/88659
http://hdl.handle.net/10220/45900
_version_ 1681043535793487872

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