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Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations
- Publication Year :
- 2018
-
Abstract
- In this paper, we propose and analyze a spectral Chebyshev-Legendre approximation for fractional order integro-differential equations of Fredholm type. The fractional derivative is described in the Caputo sense. Our proposed method is illustrated by considering some examples whose exact solutions are available. We prove that the error of the approximate solution decay exponentially in L^2-norm.<br />Comment: 20 pages, 5 figures, 1 table
- Subjects :
- Mathematics - Numerical Analysis
34-XX-34Kxx-34K28
F.2.1
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1801.00564
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.cam.2019.02.022