International Scientific Journal

Thermal Science - Online First

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Numerical simulation of three-dimensional fractional-order convection-diffusion PDEs by a local meshless method

In this article, we present an efficient local meshless method for the numerical treatment of three-dimensional convection-diffusion PDEs. The demand of meshless techniques increment because of its meshless nature and simplicity of usage in higher dimensions. This technique approximates the solution on set of uniform and scattered nodes. The space derivatives of the models are discretized by the proposed meshless procedure though the time fractional part is discretized by Liouville-Caputo fractional derivative. Some test problems on regular and irregular computational domains are presented to verify the validity, efficiency and accuracy of the method.
PAPER REVISED: 2020-05-02
PAPER ACCEPTED: 2020-02-07
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