Jacobi spectral collocation approximation for multi-dimensional time-fractional Schrödinger equations-Reference-Cited by-同舟云学术

Jacobi spectral collocation approximation for multi-dimensional time-fractional Schrödinger equations

Published:2016-01-06 Issue:3 Volume:84 Page:1553-1567
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Bhrawy Ali H.,Alzaidy Jameel F.,Abdelkawy Mohamed A.,Biswas Anjan

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/s11071-015-2588-x.pdf

Reference50 articles.

1. Canuto, C., Hussaini, M.Y., Quarteroni, A., Zang, T.A.: Spectral Methods: Fundamentals in Single Domains. Springer, New York (2006)

2. Heinrichs, W.: Spectral methods with sparse matrices. Numer. Math. 56, 25–41 (1989)

3. Doha, E.H., Bhrawy, A.H.: Efficient spectral-Galerkin algorithms for direct solution for second-order differential equations using Jacobi polynomials. Numer. Algorithms 42(2), 137–164 (2006)

4. Heinrichs, W.: Algebraic spectral multigrid methods. Comput. Methods Appl. Mech. Eng. 80, 281–286 (1990)

5. Bhrawy, A.H., Doha, E.H., Ezz-Eldien, S.S., Abdelkawy, M.A.: A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equation. Calcolo (2015). doi: 10.1007/s10092-014-0132-x

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