A fast numerical algorithm based on the second kind Chebyshev polynomials for fractional integro-differential equations with weakly singular kernels

@article{Nemati2016AFN,
  title={A fast numerical algorithm based on the second kind Chebyshev polynomials for fractional integro-differential equations with weakly singular kernels},
  author={Somayeh Nemati and Salameh Sedaghat and Iraj Mohammadi},
  journal={J. Computational Applied Mathematics},
  year={2016},
  volume={308},
  pages={231-242}
}
A spectral method based on operational matrices of the second kind Chebyshev polynomials (SKCPs) is employed for solving fractional integro-differential equations with weakly singular kernels. Firstly, properties of shifted SKCPs, operational matrix of fractional integration and product operational matrix are introduced and then utilized to reduce the given equation to the solution of a system of linear algebraic equations. This new approach provides a significant computational advantage by… CONTINUE READING