A priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutions-Reference-Cited by-同舟云学术

A priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutions

Published:2019-06-08 Issue:1 Volume:84 Page:63-89
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Zaky Mahmoud A.^ORCID,Ameen Ibrahem G.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11075-019-00743-5.pdf

Reference45 articles.

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2. Stynes, M., Gracia, J.L.: A finite difference method for a two-point boundary value problem with a Caputo fractional derivative. IMA J. Numer. Anal. 35(2), 698–721 (2015)

3. Pedas, A., Tamme, E., Vikerpuur, M.: Smoothing transformation and spline collocation for nonlinear fractional initial and boundary value problems. J. Comput. Appl. Math. 317, 1–16 (2017)

4. Gracia, J.L., Stynes, M.: Central difference approximation of convection in Caputo fractional derivative two-point boundary value problems. J. Comput. Appl. Math. 273, 103–115 (2015)

5. Cen, Z., Huang, J., Xu, A.: An efficient numerical method for a two-point boundary value problem with a Caputo fractional derivative. J. Comput. Appl. Math. 336, 1–7 (2018)

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