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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Bibliographic Details
Main Authors: Li, Xuhao, Wong, Patricia Jia Yiing
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2018
Subjects:
Online Access:https://hdl.handle.net/10356/88659
http://hdl.handle.net/10220/45900
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Institution: Nanyang Technological University
Language: English
Description
Summary: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.