TY  - EJOU
AU  - Yu, Yiming Chen, Mingxu Yi, Chen Chen, Chunxiao 

TI  - Bernstein Polynomials Method for Fractional Convection-Diffusion Equation with Variable Coefficients
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2012
VL  - 83
IS  - 6
SN  - 1526-1506

AB  - In this paper, Bernstein polynomials method is proposed for the numerical solution of a class of space-time fractional convection-diffusion equation with variable coefficients. This method combines the definition of fractional derivatives with some properties of Bernstein polynomials and are dispersed the coefficients efficaciously. The main characteristic behind this method is that the original problem is translated into a Sylvester equation. Only a small number of Bernstein polynomials are needed to obtain a satisfactory result. Numerical examples show that the method is effective.
KW  - Variable coefficients
KW  -  convection-diffusion equation
KW  -  fractional derivative
KW  -  Bernstein polynomials
KW  -  Sylvester equation
KW  -  numerical solution

DO  - 10.3970/cmes.2012.083.639