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Conference Paper: A novel finite element method for a class of time fractional diffusion equations
Title | A novel finite element method for a class of time fractional diffusion equations |
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Authors | |
Keywords | Anomalous transport Complex media Contaminant transport Critical problems Exact solution |
Issue Date | 2011 |
Publisher | ASME. |
Citation | The ASME 2011 International Design Engineering Technical Conferences cum Computers & Information in Engineering Conference (IDETC/CIE2011), Washington, DC., 28-31 August 2011. In ASME Conference Proceedings, 2011, v. 3 pts. A&B, p. 369-376 How to Cite? |
Abstract | Anomalous transport of contaminants in groundwater or porous soil is a research focus in hydrology and soil science for decades. Because fractional diffusion equations can well characterize early breakthrough and heavy tail decay features of contaminant transport process, they have been considered as promising tools to simulate anomalous transport processes in complex media. However, the efficient and accurate computation of fractional diffusion equations is a main task in their applications. In this paper, we introduce a novel numerical method which captures the critical Mittag-Leffler decay feature of subdiffusion in time direction, to solve a class of time fractional diffusion equations. A key advantage of the new method is that it overcomes the critical problem in the application of time fractional differential equations: long-time range computation. To illustrate its efficiency and simplicity, three typical academic examples are presented. Numerical results show a good agreement with the exact solutions. © 2011 by ASME. |
Description | Recipient of MESA Best Student Paper Award Paper no. DETC2011-48079 |
Persistent Identifier | http://hdl.handle.net/10722/165344 |
ISBN |
DC Field | Value | Language |
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dc.contributor.author | Sun, H | en_US |
dc.contributor.author | Chen, W | en_US |
dc.contributor.author | Sze, KY | en_US |
dc.date.accessioned | 2012-09-20T08:17:40Z | - |
dc.date.available | 2012-09-20T08:17:40Z | - |
dc.date.issued | 2011 | en_US |
dc.identifier.citation | The ASME 2011 International Design Engineering Technical Conferences cum Computers & Information in Engineering Conference (IDETC/CIE2011), Washington, DC., 28-31 August 2011. In ASME Conference Proceedings, 2011, v. 3 pts. A&B, p. 369-376 | en_US |
dc.identifier.isbn | 978-0-7918-5480-8 | - |
dc.identifier.uri | http://hdl.handle.net/10722/165344 | - |
dc.description | Recipient of MESA Best Student Paper Award | - |
dc.description | Paper no. DETC2011-48079 | - |
dc.description.abstract | Anomalous transport of contaminants in groundwater or porous soil is a research focus in hydrology and soil science for decades. Because fractional diffusion equations can well characterize early breakthrough and heavy tail decay features of contaminant transport process, they have been considered as promising tools to simulate anomalous transport processes in complex media. However, the efficient and accurate computation of fractional diffusion equations is a main task in their applications. In this paper, we introduce a novel numerical method which captures the critical Mittag-Leffler decay feature of subdiffusion in time direction, to solve a class of time fractional diffusion equations. A key advantage of the new method is that it overcomes the critical problem in the application of time fractional differential equations: long-time range computation. To illustrate its efficiency and simplicity, three typical academic examples are presented. Numerical results show a good agreement with the exact solutions. © 2011 by ASME. | - |
dc.language | eng | en_US |
dc.publisher | ASME. | - |
dc.relation.ispartof | ASME Conference Proceedings | en_US |
dc.subject | Anomalous transport | - |
dc.subject | Complex media | - |
dc.subject | Contaminant transport | - |
dc.subject | Critical problems | - |
dc.subject | Exact solution | - |
dc.title | A novel finite element method for a class of time fractional diffusion equations | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Sun, H: sunhg@hku.hk | en_US |
dc.identifier.email | Sze, KY: kysze@hku.hk | en_US |
dc.identifier.authority | Sze, KY=rp00171 | en_US |
dc.description.nature | link_to_OA_fulltext | - |
dc.identifier.doi | 10.1115/DETC2011-48079 | - |
dc.identifier.scopus | eid_2-s2.0-84863582872 | - |
dc.identifier.hkuros | 206010 | en_US |
dc.identifier.volume | 3 | - |
dc.identifier.issue | pts A&B | - |
dc.identifier.spage | 369 | en_US |
dc.identifier.epage | 376 | en_US |
dc.publisher.place | United States | - |
dc.description.other | The ASME 2011 International Design Engineering Technical Conferences cum Computers & Information in Engineering Conference (IDETC/CIE2011), Washington, DC., 28-31 August 2011. In ASME Conference Proceedings, 2011, v. 3 pts. A&B, p. 369-376 | - |