Efficient Spectral Collocation Method for Tempered Fractional Differential Equations [PDF]
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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Fully Legendre spectral collocation technique for stochastic heat equations [PDF]
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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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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Mathematical Modelling and Analysis, 2017 This paper presents a space-time spectral collocation technique for solving the variable-order Galilei invariant advection diffusion equation with a nonlinear source term (VO-NGIADE).
Mohamed A. Abd-Elkawy +1 more
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Trivariate Spectral Collocation Approach for the Numerical Solution of Three-Dimensional Elliptic Partial Differential Equations [PDF]
Mathematics, 2022 This article is concerned with the numerical solution of three-dimensional elliptic partial differential equations (PDEs) using the trivariate spectral collocation approach based on the Kronecker tensor product.
Musawenkhosi Patson Mkhatshwa +1 more
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A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations [PDF]
International Journal of Differential Equations, 2012 A numerical scheme is presented for a class of time fractional differential equations with Dirichlet's and Neumann's boundary conditions. The model solution is discretized in time and space with a spectral expansion of Lagrange interpolation polynomial ...
Fenghui Huang
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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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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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A bivariate Chebyshev spectral collocation quasilinearization method for nonlinear evolution parabolic equations. [PDF]
ScientificWorldJournal, 2014 Motsa SS, Magagula VM, Sibanda P.
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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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