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

Q. Liu, F. Liu, Y.T. Gu, P. Zhuang, J. Chen and I. Turner
Authors registered in the RePEc Author Service: Qiujiang Liu

Applied Mathematics and Computation, 2015, vol. 256, issue C, 930-938

Abstract: 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.

Keywords: Fractional diffusion equation; Meshless approach; Point interpolation method; Numerical simulation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:930-938

DOI: 10.1016/j.amc.2015.01.092

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