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Bernstein Polynomials Method for Fractional Convection-Diffusion Equation with Variable Coefficients
Computer Modeling in Engineering & Sciences 2012, 83(6), 639-654. https://doi.org/10.3970/cmes.2012.083.639
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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.Keywords
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APA Style
Chen, Y., Yi, M., Chen, C., Yu, C. (2012). Bernstein polynomials method for fractional convection-diffusion equation with variable coefficients. Computer Modeling in Engineering & Sciences, 83(6), 639-654. https://doi.org/10.3970/cmes.2012.083.639
Vancouver Style
Chen Y, Yi M, Chen C, Yu C. Bernstein polynomials method for fractional convection-diffusion equation with variable coefficients. Comput Model Eng Sci. 2012;83(6):639-654 https://doi.org/10.3970/cmes.2012.083.639
IEEE Style
Y. Chen, M. Yi, C. Chen, and C. Yu, “Bernstein Polynomials Method for Fractional Convection-Diffusion Equation with Variable Coefficients,” Comput. Model. Eng. Sci., vol. 83, no. 6, pp. 639-654, 2012. https://doi.org/10.3970/cmes.2012.083.639
Copyright © 2012 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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