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...
| Main Authors: | , |
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| Format: | Journal Article |
| Language: | English |
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2018
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| Online Access: | https://hdl.handle.net/10356/88659 http://hdl.handle.net/10220/45900 |
| _version_ | 1811691189831729152 |
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| author | Li, Xuhao Wong, Patricia Jia Yiing |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Li, Xuhao Wong, Patricia Jia Yiing |
| author_sort | Li, Xuhao |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T06:15:56Z |
| format | Journal Article |
| id | ntu-10356/88659 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:15:56Z |
| publishDate | 2018 |
| record_format | dspace |
| spelling | ntu-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 |
| 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 |
| title | 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_short | Parametric quintic spline approach for two-dimensional fractional sub-diffusion equation |
| title_sort | parametric quintic spline approach for two dimensional fractional sub diffusion equation |
| topic | DRNTU::Engineering::Electrical and electronic engineering Parametric Quintic Spline Two-dimensional Fractional Sub-diffusion |
| url | https://hdl.handle.net/10356/88659 http://hdl.handle.net/10220/45900 |
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