Journal
QUAESTIONES MATHEMATICAE
Volume 38, Issue 1, Pages 41-55Publisher
NATL INQUIRY SERVICES CENTRE PTY LTD
DOI: 10.2989/16073606.2014.981699
Keywords
Chebyshev polynomials; fractional differential equations; Legendre basis; operational matrix
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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.
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