Non-polynomial spline approach in two-dimensional fractional sub-diffusion problems

Non-polynomial spline approach in two-dimensional fractional sub-diffusion problems

In this paper, we propose a new numerical scheme for two-dimensional fractional sub-diffusion problems using non-polynomial spline. The solvability, stability and convergence of the proposed method are established using the well known discrete energy methodology. It is shown that the spatial converg...

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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: 2021
Subjects:
Engineering::Electrical and electronic engineering
Non-polynomial Spline
Sub-diffusion Equation
Online Access:https://hdl.handle.net/10356/152780
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1527802021-09-29T02:29:31Z Non-polynomial spline approach in two-dimensional fractional sub-diffusion problems Li, Xuhao Wong, Patricia Jia Yiing School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Non-polynomial Spline Sub-diffusion Equation In this paper, we propose a new numerical scheme for two-dimensional fractional sub-diffusion problems using non-polynomial spline. The solvability, stability and convergence of the proposed method are established using the well known discrete energy methodology. It is shown that the spatial convergence order is at least 4.5 which improves the best result achieved to date. We also carry out simulation to demonstrate the accuracy and efficiency of the proposed scheme and to compare with other methods. 2021-09-29T02:29:31Z 2021-09-29T02:29:31Z 2019 Journal Article Li, X. & Wong, P. J. Y. (2019). Non-polynomial spline approach in two-dimensional fractional sub-diffusion problems. Applied Mathematics and Computation, 357, 222-242. https://dx.doi.org/10.1016/j.amc.2019.03.045 0096-3003 https://hdl.handle.net/10356/152780 10.1016/j.amc.2019.03.045 2-s2.0-85064056360 357 222 242 en Applied Mathematics and Computation © 2019 Elsevier Inc. All rights reserved.
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering::Electrical and electronic engineering
Non-polynomial Spline
Sub-diffusion Equation
spellingShingle Engineering::Electrical and electronic engineering
Non-polynomial Spline
Sub-diffusion Equation
Li, Xuhao
Wong, Patricia Jia Yiing
Non-polynomial spline approach in two-dimensional fractional sub-diffusion problems
description In this paper, we propose a new numerical scheme for two-dimensional fractional sub-diffusion problems using non-polynomial spline. The solvability, stability and convergence of the proposed method are established using the well known discrete energy methodology. It is shown that the spatial convergence order is at least 4.5 which improves the best result achieved to date. We also carry out simulation to demonstrate the accuracy and efficiency of the proposed scheme and 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 Non-polynomial spline approach in two-dimensional fractional sub-diffusion problems
title_short Non-polynomial spline approach in two-dimensional fractional sub-diffusion problems
title_full Non-polynomial spline approach in two-dimensional fractional sub-diffusion problems
title_fullStr Non-polynomial spline approach in two-dimensional fractional sub-diffusion problems
title_full_unstemmed Non-polynomial spline approach in two-dimensional fractional sub-diffusion problems
title_sort non-polynomial spline approach in two-dimensional fractional sub-diffusion problems
publishDate 2021
url https://hdl.handle.net/10356/152780
_version_ 1712300638017159168

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