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.
arXiv comment26 pages, 2 figures, 7 tables, a few typos fixed in the updated version
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Cited by in corpus (4)
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- Solving FDE-IVPs by using Fractional HBVMs: some experiments with the fhbvm code
- Analysis and implementation of collocation methods for fractional differential equations
- A shooting-Newton procedure for solving fractional terminal value problems