A meshless method based on Point Interpolation Method (PIM) for the space fractional diffusion equation

Liu, QingXia, Liu, Fawang, Gu, YuanTong, Zhuang, Pinghui, Chen, J., & Turner, Ian (2015) A meshless method based on Point Interpolation Method (PIM) for the space fractional diffusion equation. Applied Mathematics and Computation, 256, pp. 930-938.

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This paper aims to develop a meshless approach based on the Point Interpolation Method (PIM) for numerical simulation of a space fractional diffusion equation. Two fully-discrete schemes for the one-dimensional space fractional diffusion equation are obtained by using the PIM and the strong-forms of the space diffusion equation. Numerical examples with different nodal distributions are studied to validate and investigate the accuracy and efficiency of the newly developed meshless approach.

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4 citations in Web of Science®

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ID Code: 82350
Item Type: Journal Article
Refereed: Yes
Keywords: Fractional diffusion equation, Meshless approach, Point interpolation method, Numerical simulation
DOI: 10.1016/j.amc.2015.01.092
ISSN: 0096-3003
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical and Computational Mathematics not elsewhere classified (010399)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Numerical Modelling and Mechanical Characterisation (091307)
Divisions: Current > Research Centres > ARC Centre of Excellence for Mathematical & Statistical Frontiers (ACEMS)
Current > Schools > School of Chemistry, Physics & Mechanical Engineering
Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2015 Elsevier Inc.
Copyright Statement: NOTICE: this is the author’s version of a work that was accepted for publication in Applied Mathematics and Computation. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied Mathematics and Computation, Volume 256, (1 April 2015), DOI: 10.1016/j.amc.2015.01.092
Deposited On: 09 Mar 2015 22:28
Last Modified: 14 Dec 2015 06:13

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