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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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 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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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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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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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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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 High-Efficiency Spectral Method for Two-Dimensional Ocean Acoustic Propagation Calculations
Entropy, 2021 The accuracy and efficiency of sound field calculations highly concern issues of hydroacoustics. Recently, one-dimensional spectral methods have shown high-precision characteristics when solving the sound field but can solve only simplified models of ...
Xian Ma +5 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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