Chebyshev polynomials for approximation of solution of fractional partial differential equations with variable coefficients

DOI

10.2991/ic3me-15.2015.48How to use a DOI?

Keywords

Chebyshev polynomials, fractional partial differential equation with variable coefficients, operational matrix, numerical solution.

Abstract

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.

Copyright

© 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/).

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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  -