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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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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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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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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Collocation, semantic prosody and near synonymy: A cross-linguistic perspective. [PDF]
, 2006 This paper explores the collocational behaviour and semantic prosody of near synonyms from a cross-linguistic perspective. The importance of these concepts to language learning is well recognized.
Xiao, R. +7 more
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A class of cubic and quintic spline modified collocation methods for the solution of two-point boundary value problems [PDF]
, 1987 This paper is concerned with the study of a class of methods for solving second and fourth-order two-point boundary-value problems. The methods under consideration are modifications of the standard cubic and quintic spline collocation techniques, and ...
Soares, M J, Papamichael, N
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A spectral collocation technique based on integrated Chebyshev polynomials for biharmonic problems in irregular domains [PDF]
, 2009 In this paper, an integral collocation approach based on Chebyshev polynomials for numerically solving biharmonic equations [N. Mai-Duy, R.I. Tanner, A spectral collocation method based on integrated Chebyshev polynomials for biharmonic boundary-value ...
See, Howard +2 more
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Supporting collocation learning with a digital library [PDF]
, 2010 Extensive knowledge of collocations is a key factor that distinguishes learners from fluent native speakers. Such knowledge is difficult to acquire simply because there is so much of it.
Franken, Margaret +2 more
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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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An effective spectral collocation method for the direct solution of high‐order ODEs [PDF]
, 2006 This paper reports a new Chebyshev spectral collocation method for directly solving high-order ordinary differential equations (ODEs). The construction of the Chebyshev approximations is based on integration rather than conventional differentiation. This
Mai-Duy, Nam, N. Mai‐Duy
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