Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods

K. M. Saad; M. M. Khader; J. F. Gómez-Aguilar; Dumitru Baleanu

doi:10.1063/1.5086771

Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.5086771 ◽

2019 ◽

Vol 29 (2) ◽

pp. 023116 ◽

Cited By ~ 46

Author(s):

K. M. Saad ◽

M. M. Khader ◽

J. F. Gómez-Aguilar ◽

Dumitru Baleanu

Keyword(s):

Fractional Derivative ◽

Numerical Solutions ◽

Collocation Methods ◽

Spectral Collocation ◽

Spectral Collocation Methods

Download Full-text

Numerical solutions of some nonlinear evolution equations by Chebyshev spectral collocation methods

International Journal of Computer Mathematics ◽

10.1080/00207160601138863 ◽

2007 ◽

Vol 84 (3) ◽

pp. 305-316 ◽

Cited By ~ 10

Author(s):

A. H. Khater ◽

R. S. Temsah

Keyword(s):

Evolution Equations ◽

Numerical Solutions ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Collocation Methods ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Spectral Collocation Methods

Download Full-text

Numerical solutions of the generalized Kuramoto–Sivashinsky equation by Chebyshev spectral collocation methods

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2008.03.013 ◽

2008 ◽

Vol 56 (6) ◽

pp. 1465-1472 ◽

Cited By ~ 43

Author(s):

A.H. Khater ◽

R.S. Temsah

Keyword(s):

Numerical Solutions ◽

Collocation Methods ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Spectral Collocation Methods ◽

Sivashinsky Equation

Download Full-text

Numerical solutions for solving time fractional Fokker–Planck equations based on spectral collocation methods

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.04.003 ◽

2018 ◽

Vol 339 ◽

pp. 389-404 ◽

Cited By ~ 17

Author(s):

Yin Yang ◽

Yunqing Huang ◽

Yong Zhou

Keyword(s):

Numerical Solutions ◽

Collocation Methods ◽

Spectral Collocation ◽

Fokker Planck Equations ◽

Spectral Collocation Methods ◽

Fokker Planck

Download Full-text

Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.01.046 ◽

2019 ◽

Vol 357 ◽

pp. 103-122 ◽

Cited By ~ 33

Author(s):

Mahmoud A. Zaky

Keyword(s):

High Order ◽

Collocation Methods ◽

High Order Accuracy ◽

Smooth Solutions ◽

Spectral Collocation ◽

Order Accuracy ◽

Spectral Collocation Methods

Download Full-text

A Note on Jacobi Spectral-Collocation Methods for Weakly Singular Volterra Integral Equations with Smooth Solutions

Journal of Computational Mathematics ◽

10.4208/jcm.1208-m3497 ◽

2013 ◽

Vol 31 (1) ◽

pp. 47-56 ◽

Cited By ~ 34

Author(s):

Yanping Chen

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Collocation Methods ◽

Smooth Solutions ◽

Spectral Collocation ◽

Weakly Singular ◽

Spectral Collocation Methods

Download Full-text

Well-Conditioned Spectral Collocation Methods for Problems in Unbounded Domains

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2019-0090 ◽

2020 ◽

Vol 13 (2) ◽

pp. 452-478

Author(s):

global sci

Keyword(s):

Unbounded Domains ◽

Collocation Methods ◽

Spectral Collocation ◽

Spectral Collocation Methods

Download Full-text

Chapter 24: Spectral collocation methods

Fast Direct Solvers for Elliptic PDEs ◽

10.1137/1.9781611976045.ch24 ◽

2019 ◽

pp. 265-274

Keyword(s):

Collocation Methods ◽

Spectral Collocation ◽

Spectral Collocation Methods

Download Full-text

Trigonometric spectral collocation methods on lattices

Recent Advances in Scientific Computing and Partial Differential Equations - Contemporary Mathematics ◽

10.1090/conm/330/05887 ◽

2003 ◽

pp. 121-132 ◽

Cited By ~ 16

Author(s):

Dong Li ◽

Fred J. Hickernell

Keyword(s):

Collocation Methods ◽

Spectral Collocation ◽

Spectral Collocation Methods

Download Full-text

Spectral collocation methods using sine functions for a rotating Bose–Einstein condensation in optical lattices

Journal of Computational Physics ◽

10.1016/j.jcp.2011.10.030 ◽

2012 ◽

Vol 231 (4) ◽

pp. 1553-1569 ◽

Cited By ~ 11

Author(s):

Huei-Shuang Chen ◽

Shing-Lin Chang ◽

Cheng-Sheng Chien

Keyword(s):

Optical Lattices ◽

Collocation Methods ◽

Einstein Condensation ◽

Spectral Collocation ◽

Bose Einstein Condensation ◽

Bose Einstein ◽

Sine Functions ◽

Spectral Collocation Methods

Download Full-text

Chebyshev spectral collocation methods for laminar flow through a channel contraction

Journal of Computational Physics ◽

10.1016/0021-9991(89)90184-8 ◽

1989 ◽

Vol 84 (1) ◽

pp. 114-133 ◽

Cited By ~ 19

Author(s):

Andreas Karageorghis ◽

Timothy N. Phillips

Keyword(s):

Laminar Flow ◽

Collocation Methods ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Flow Through ◽

Spectral Collocation Methods

Download Full-text