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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.

Numerical simulation of 3-D fractional-order convection-diffusion PDE by a local meshless method