基于MQ-RBF-FD求解对流扩散方程的二阶算法

doi:10.3976/j.issn.1002-4026.2020.05.014

Abstract

Abstract: To solve the unsteady convection diffusion equation, we propose a new second-order algorithm that applies the multi-quadrics localized radial basis function(MQ-RBF-FD)method and dimension-splitting method for spatial discretization, and BDF2 methods and alternating iterative schemes for temporal discretization. We determine the appropriate number of iterations, choose an optimal shape parameter c, and finally, obtain higher order accuracy. We conducted numerical experiments to verify the rationality and feasibility of the theoretical results.

Key words: convection diffusion, RBF-FD method, shape parameter, higher order accuracy, iterative schemes

CLC Number:

O241.82

YAO Lin, TANG Quan. A novel second-order algorithm based on MQ-RBF-FD method for solving convection diffusion equation[J].Shandong Science, 2020, 33(5): 113-118.

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[1]	GUO Fei-fan, ZHANG Xin-dong, WANG Shuo. Numerical solution for convection-diffusion equation with time fractional variable coefficients [J]. Shandong Science, 2020, 33(1): 116-123.
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A novel second-order algorithm based on MQ-RBF-FD method for solving convection diffusion equation

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