A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations

作者：Esmaeili Shahrokh; Shamsi M^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2011, 16(9): 3646-3654.

DOI：10.1016/j.cnsns.2010.12.008

• Caputo derivative
• Fractional differential equations
• Multi-term fractional differential equations
• Jacobi polynomials
• Fractional differentiation matrix

In this paper, the pseudo-spectral method is generalized for solving fractional differential equations with initial conditions. For this purpose, an appropriate representation of the solution is presented and the pseudo-spectral differentiation matrix of fractional order is derived. Then, by using pseudo-spectral scheme, the problem is reduced to the solution of a system of algebraic equations. Through several numerical examples, we evaluate the accuracy and performance of our proposed method.

• 出版日期2011-9