Results 11 to 20 of about 1,226 (262)
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
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Spectral collocation method for convection-diffusion equation
Demonstratio MathematicaSpectral collocation method, named linear barycentric rational interpolation collocation method (LBRICM), for convection-diffusion (C-D) equation with constant coefficient is considered.
Li Jin, Cheng Yongling
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Legendre spectral-collocation method for solving some types of fractional optimal control problems. [PDF]
J Adv Res, 2015 Sweilam NH, Al-Ajami TM.
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Spectral-Collocation Methods for Fractional Pantograph Delay-Integrodifferential Equations [PDF]
Advances in Mathematical Physics, 2013 We propose and analyze a spectral Jacobi-collocation approximation for fractional order integrodifferential equations of Volterra type with pantograph delay. The fractional derivative is described in the Caputo sense. We provide a rigorous error analysis
Yin Yang, Yunqing Huang
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Binary spectral collocation method for the nonlinear Fokker-Planck equation
Journal of Algorithms & Computational TechnologyA mixed Laguerre-Legendre spectral collocation schemes is constructed for initial-boundary value problem of the nonlinear Fokker-Planck nonhomogeneous equations and the linear Fokker-Planck homogeneous equation by using the Laguerre interpolation ...
Zhang Yajin, Wang Tianjun, Tan Jia
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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 +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. +2 more
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Space-time spectral collocation method for Allen-Cahn equation
上海师范大学学报. 自然科学版, 2023 Allen-Cahn equation is an important phase field model, which has been widely used to investigate interfacial dynamic problems. In this paper, we propose a Legendre-Gauss spectral collocation scheme for the Allen-Cahn equation by using Legendre-Gauss ...
JIA Mengshu, XIE Shanshan, JIAO Yujian
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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 +2 more
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Domain decomposition preconditioners for the spectral collocation method [PDF]
Journal of Scientific Computing, 1988 This paper proposes and analyzes several block iteration preconditioners for the solutions of elliptic problems by spectral collocation methods in a region partitioned into several rectangles. One considers a spectral collocation approximation which consists of collocating differential equations at Gaussian collocation points; and then a variational ...
QUARTERONI, ALFIO MARIA +1 more
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