A NUMERICAL SCHEME FOR SOLVING DIFFERENTIAL EQUATIONS WITH SPACE AND TIME-FRACTIONAL COORDINATE DERIVATIVES

作者：Khan, Yasir; Beik, S. Panjeh Ali; Sayevand, Khosro^*; Shayganmanesh, A.

来源：Quaestiones Mathematicae, 2015, 38(1): 41-55.

DOI：10.2989/16073606.2014.981699

• Chebyshev polynomials
• fractional differential equations
• Legendre basis
• operational matrix

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.

• 出版日期2015
• 单位浙江大学