Shifted Jacobi spectral collocation method for solving two-sided fractional water wave models
Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia
2 Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
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Accepted: 21 December 2016
Published online: 27 January 2017
This paper presents the spectral collocation technique to solve the two-sided fractional water wave models (TSF-WWMs). The shifted Jacobi-Gauss-Lobatto collocation (SJ-GL-C) and shifted Jacobi-Gauss-Radau collocation (SJ-GR-C) methods are developed to approximate the TSF-WWMs. The main idea in the novel algorithm is to reduce the TSF-WWM to a systems of algebraic equations. The applicability and accuracy of the present technique have been examined by the given numerical examples in this paper. By means of these numerical examples, we ensure that the present technique is a simple and very accurate numerical scheme for solving TSF-WWMs.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2017