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Efficient Spectral Collocation Method for Tempered Fractional Differential Equations

Fractal and Fractional, 2023
Transient anomalous diffusion may be modeled by a tempered fractional diffusion equation. In this paper, we present a spectral collocation method with tempered fractional Jacobi functions (TFJFs) as basis functions and obtain an efficient algorithm to ...
Tinggang Zhao
doaj   +2 more sources

On Well-Conditioned Spectral Collocation and Spectral Methods by the Integral Reformulation [PDF]

SIAM Journal of Scientific Computing, 2016
17 pages, 8 ...
Kui Du
exaly   +4 more sources

Spectral-collocation variational integrators [PDF]

Journal of Computational Physics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yiqun Li, Boying Wu, Melvin Leok
exaly   +3 more sources

Legendre spectral-collocation method for solving some types of fractional optimal control problems [PDF]

Journal of Advanced Research, 2015
N H Sweilam
exaly   +2 more sources

Superconvergence of spectral collocation method for initial value problem of ordinary differential equations

上海师范大学学报. 自然科学版, 2021
In this paper, we study the spectral collocation method for the initial value problems of ordinary differential equations. Based on Legendre-Gauss points, we propose the spectral collocation method for the initial value problems of first-order and second-
QIAN Yiyun, ZHA Yuanyuan, CAI Kangwen, LIU Yanqin, WANG Xinyi, YI Lijun   +5 more
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Spectral collocation methods [PDF]

Applied Numerical Mathematics, 1989
This is a survey article on the application of spectral collocation methods to the solution of partial differential equations. For the most part, the basis functions used are either trigonometric or Chebyshev polynomials, although there is some discussion of Legendre polynomials.
Hussaini, M. Y., Kopriva, D. A., Patera, A. T.   +2 more
openaire   +2 more sources

Jacobi spectral collocation technique for fractional inverse parabolic problem

Alexandria Engineering Journal, 2022
We present an efficient numerical solution for the fractional inverse parabolic problem with an unknown condition in this study. In addition to the unknown temperature function, the suggested fractional inverse parabolic problem also has an unknown ...
M.A. Abdelkawy, M. E.A. Zaky, Mohammed M. Babatin, Abeer S. Alnahdi   +3 more
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Space–time spectral collocation method for Klein–Gordon equation

Journal of Algorithms & Computational Technology, 2021
By using the Legendre–Laguerre collocation method, we can construct a spectral collocation scheme to solve the Klein–Gordon equation on the half-line.
Ping Zhang, Te Li, Yuan-Hao Zhang
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Applications of Modified Bessel Polynomials to Solve a Nonlinear Chaotic Fractional-Order System in the Financial Market: Domain-Splitting Collocation Techniques

Computation, 2023
We propose two accurate and efficient spectral collocation techniques based on a (novel) domain-splitting strategy to handle a nonlinear fractional system consisting of three ODEs arising in financial modeling and with chaotic behavior.
Mohammad Izadi, Hari Mohan Srivastava
doaj   +1 more source

Numerical Solution of Fractional Order Fredholm Integro-differential Equations by Spectral Method with Fractional Basis Functions

Известия Иркутского государственного университета: Серия "Математика", 2023
This paper introduces a new numerical technique based on the implicit spectral collocation method and the fractional Chelyshkov basis functions for solving the fractional Fredholm integro-differential equations. The framework of the proposed method is to
Y. Talaei, S. Noeiaghdam, H. Hosseinzadeh   +2 more
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