Numerical solution of fourth-order fractional diffusion wave model
In this paper, we shall construct a new numerical scheme for fourth-order fractional diffusion wave model. The solvability, stability and convergence of proposed method are established in l2 norm and it is shown that the numerical scheme improves the earlier work done. Simulation is carried out to v...
| 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/10356/88646 http://hdl.handle.net/10220/45901 |
| _version_ | 1811694306307604480 |
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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 construct a new numerical scheme for fourth-order fractional diffusion wave model. The solvability, stability and convergence of proposed method are established in l2 norm and it is shown that the numerical scheme improves the earlier work done. Simulation is carried out to verity the accuracy and efficiency of the numerical scheme. |
| first_indexed | 2024-10-01T07:05:29Z |
| format | Journal Article |
| id | ntu-10356/88646 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:05:29Z |
| publishDate | 2018 |
| record_format | dspace |
| spelling | ntu-10356/886462020-03-07T14:02:36Z Numerical solution of fourth-order fractional diffusion wave model Li, Xuhao Wong, Patricia Jia Yiing School of Electrical and Electronic Engineering INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017) Numerical Scheme DRNTU::Engineering::Electrical and electronic engineering Diffraction In this paper, we shall construct a new numerical scheme for fourth-order fractional diffusion wave model. The solvability, stability and convergence of proposed method are established in l2 norm and it is shown that the numerical scheme improves the earlier work done. Simulation is carried out to verity the accuracy and efficiency of the numerical scheme. Published version 2018-09-07T04:41:54Z 2019-12-06T17:07:57Z 2018-09-07T04:41:54Z 2019-12-06T17:07:57Z 2018 Journal Article Li, X., & Wong, P. J. Y. (2018). Numerical solution of fourth-order fractional diffusion wave model. AIP Conference Proceedings, 1978(1), 130005-. doi:10.1063/1.5043778 0094-243X https://hdl.handle.net/10356/88646 http://hdl.handle.net/10220/45901 10.1063/1.5043778 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/10.1063/1.5043778]. 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 | Numerical Scheme DRNTU::Engineering::Electrical and electronic engineering Diffraction Li, Xuhao Wong, Patricia Jia Yiing Numerical solution of fourth-order fractional diffusion wave model |
| title | Numerical solution of fourth-order fractional diffusion wave model |
| title_full | Numerical solution of fourth-order fractional diffusion wave model |
| title_fullStr | Numerical solution of fourth-order fractional diffusion wave model |
| title_full_unstemmed | Numerical solution of fourth-order fractional diffusion wave model |
| title_short | Numerical solution of fourth-order fractional diffusion wave model |
| title_sort | numerical solution of fourth order fractional diffusion wave model |
| topic | Numerical Scheme DRNTU::Engineering::Electrical and electronic engineering Diffraction |
| url | https://hdl.handle.net/10356/88646 http://hdl.handle.net/10220/45901 |
| work_keys_str_mv | AT lixuhao numericalsolutionoffourthorderfractionaldiffusionwavemodel AT wongpatriciajiayiing numericalsolutionoffourthorderfractionaldiffusionwavemodel |