Anomalous subdiffusion equations by the meshless collocation method

Gu, YuanTong & Zhuang, Pinghui (2012) Anomalous subdiffusion equations by the meshless collocation method. Australian Journal of Mechanical Engineering, 10(1), pp. 1-8.

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This paper aims to develop an implicit meshless collocation technique based on the moving least squares approximation for numerical simulation of the anomalous subdiffusion equation(ASDE). The discrete system of equations is obtained by using the MLS meshless shape functions and the meshless collocation formulation. The stability and convergence of this meshless approach related to the time discretization are investigated theoretically and numerically. The numerical examples with regular and irregular nodal distributions are used to the newly developed meshless formulation. It is concluded that the present meshless formulation is very effective for the modeling of ASDEs.

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5 citations in Scopus
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ID Code: 51127
Item Type: Journal Article
Refereed: Yes
Keywords: Numerical modeling, Fractional differential equation, Anomalous subdiffusion equation, Meshless method, Moving least squares
DOI: 10.7158/M10-722.2012.10.1
ISSN: 1448-4846
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Solution of Differential and Integral Equations (010302)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Numerical Modelling and Mechanical Characterisation (091307)
Divisions: Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 27 Jun 2012 23:33
Last Modified: 15 Jul 2017 22:02

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