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

Abstract

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.

Formation of Intermetallic Phases in Ion Implantation

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An Investigation of Radial Basis Function Method for Strain Reconstruction by Energy-Resolved Neutron Imaging

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Solution of Multi-Term Time-Fractional PDE Models Arising in Mathematical Biology and Physics by Local Meshless Method

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