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A numerical scheme for solving differential equations with space and time-fractional coordinate derivatives


Y Khan
S.P.A. Beik
K Sayevand
A Shayganmanesh

Abstract

In this paper, we apply a numerical scheme for solving fractional differential equations. Our approach is based on an operational matrix of fractional Riemann-Liouville integration with Legendre basis and zeros of Chebyshev polynomials. In this framework the fractional Burgers equation, modified fractional Korteweg-de Vries equation and fractional wave equation are considered as prototype examples. The results reveal that the present method is very effective and accurate.

Keywords: Chebyshev polynomials, fractional differential equations,  Legendre basis, operational matrix.


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eISSN: 1727-933X
print ISSN: 1607-3606