Results 11 to 20 of about 3,194 (297)
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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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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Numerical Solution for Elliptic Interface Problems Using Spectral Element Collocation Method [PDF]
Abstract and Applied Analysis, 2014 The aim of this paper is to solve an elliptic interface problem with a discontinuous coefficient and a singular source term by the spectral collocation method.
Peyman Hessari +2 more
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Jacobi Spectral Collocation Technique for Time-Fractional Inverse Heat Equations
Fractal and Fractional, 2021 In this paper, we introduce a numerical solution for the time-fractional inverse heat equations. We focus on obtaining the unknown source term along with the unknown temperature function based on an additional condition given in an integral form.
Mohamed A. Abdelkawy +5 more
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Fully Legendre spectral collocation technique for stochastic heat equations
Open Physics, 2021 For the stochastic heat equation (SHE), a very accurate spectral method is considered. To solve the SHE, we suggest using a shifted Legendre Gauss–Lobatto collocation approach in combination with a shifted Legendre Gauss–Radau collocation technique.
Abdelkawy Mohamed A. +3 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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Nonlinear Engineering, 2020 In this work, we present a new modification to the bivariate spectral collocation method in solving Emden-Fowler equations. The novelty of the modified approach is the use of overlapping grids when applying the Chebyshev spectral collocation method.
Mkhatshwa Musawenkhosi P. +2 more
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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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Spectral-Collocation Methods for Fractional Pantograph Delay-Integrodifferential Equations
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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Fractal and FractionalIn this paper, we provide a collocation spectral scheme for systems of nonlinear Caputo–Hadamard differential equations. Since the Caputo–Hadamard operators contain logarithmic kernels, their solutions can not be well approximated using the usual ...
Mahmoud A. Zaky +5 more
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