Title: A numerical scheme for solving differential equations with space and time-fractional coordinate derivatives
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.
Publication Year: 2015
Publication Date: 2015-01-02
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 18
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