Open Access

ARTICLE

Bernstein Polynomials Method for Fractional Convection-Diffusion Equation with Variable Coefficients

Yiming Chen, Mingxu Yi, Chen Chen, Chunxiao Yu

Computer Modeling in Engineering & Sciences 2012, 83(6), 639-654. https://doi.org/10.3970/cmes.2012.083.639

Abstract

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.

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Keywords

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