Chebyshev polynomials for approximation of solution of fractional partial differential equations with variable coefficients
- 10.2991/ic3me-15.2015.48How to use a DOI?
- Chebyshev polynomials, fractional partial differential equation with variable coefficients, operational matrix, numerical solution.
In this paper, a numerical method for solving a class of fractional partial differential equations with variable coefficients based on Chebyshev polynomials is proposed. The fractional derivative is described in the Caputo sense. The properties of Chebyshev polynomials are used to reduce the initial equations to the products of several matrixes. A system of linear equations are obtained by dispersing the coefficients and the products of matrixes. Only a small number of Chebyshev polynomials are needed to acquire a satisfactory result. Results obtained using the scheme presented here show that the numerical method is very effective and convenient for solving fractional partial differential equations with variable coefficients.
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Zhongshu Yang AU - Hongbo Zhang PY - 2015/08 DA - 2015/08 TI - Chebyshev polynomials for approximation of solution of fractional partial differential equations with variable coefficients BT - Proceedings of the 3rd International Conference on Material, Mechanical and Manufacturing Engineering PB - Atlantis Press SP - 252 EP - 260 SN - 2352-5401 UR - https://doi.org/10.2991/ic3me-15.2015.48 DO - 10.2991/ic3me-15.2015.48 ID - Yang2015/08 ER -