Banded operational matrices for Bernstein polynomials and application to the fractional advection-dispersion equation

@article{Jani2016BandedOM,
  title={Banded operational matrices for Bernstein polynomials and application to the fractional advection-dispersion equation},
  author={Mostafa Jani and Esmail Babolian and Shahnam Javadi and Dambaru D. Bhatta},
  journal={Numerical Algorithms},
  year={2016},
  volume={75},
  pages={1041-1063}
}
In the papers, dealing with derivation and applications of operational matrices of Bernstein polynomials, a basis transformation, commonly a transformation to power basis, is used. The main disadvantage of this method is that the transformation may be ill-conditioned. Moreover, when applied to the numerical simulation of a functional differential equation, it leads to dense operational matrices and so a dense coefficient matrix is obtained. In this paper, we present a new property for Bernstein… Expand
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