A spectrally accurate step-by-step method for the numerical solution of fractional differential equations
arXiv:2310.10526 · doi:10.1007/s10915-024-02517-1
Abstract
In this paper we consider the numerical solution of fractional differential equations. In particular, we study a step-by-step graded mesh procedure based on an expansion of the vector field using orthonormal Jacobi polynomials. Under mild hypotheses, the proposed procedure is capable of getting spectral accuracy. A few numerical examples are reported to confirm the theoretical findings.
26 pages, 2 figures, 7 tables, a few typos fixed in the updated version