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A collocation spectral method for two-dimensional Sobolev equations
Boundary Value Problems, 2018 This article mainly studies a collocation spectral method for two-dimensional (2D) Sobolev equations. To this end, a collocation spectral model based on the Chebyshev polynomials for the 2D Sobolev equations is first established. And then, the existence,
Shiju Jin, Zhendong Luo
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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
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A Crank–Nicolson collocation spectral method for the two-dimensional telegraph equations
Journal of Inequalities and Applications, 2018 In this paper, we mainly focus to study the Crank–Nicolson collocation spectral method for two-dimensional (2D) telegraph equations. For this purpose, we first establish a Crank–Nicolson collocation spectral model based on the Chebyshev polynomials for ...
Yanjie Zhou, Zhendong Luo
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Legendre spectral-collocation method for solving some types of fractional optimal control problems [PDF]
Journal of Advanced Research, 2015 Nasser H Sweilam
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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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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 +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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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
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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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A Spectral Method for Two-Dimensional Ocean Acoustic Propagation
Journal of Marine Science and Engineering, 2021 The accurate calculation of the sound field is one of the most concerning issues in hydroacoustics. The one-dimensional spectral method has been used to correctly solve simplified underwater acoustic propagation models, but it is difficult to solve ...
Xian Ma +5 more
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