Results 21 to 30 of about 3,194 (297)
A Legendre Spectral Collocation Method for the Biharmonic Dirichlet Problem [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2000 A Legendre spectral collocation method is presented for the solution of the biharmonic equation. Linear combinations of Legendre polynomials proposed by \textit{J. Shen} [SIAM J. Sci. Comput. 15, No. 6, 1489--1505 (1994; Zbl 0811.65097)] are used for approximation.
Bialecki, Bernard, Karageorghis, Andreas
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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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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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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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A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems [PDF]
, 2007 This paper reports a new spectral collocation method for numerically solving two-dimensional biharmonic boundary-value problems. The construction of the Chebyshev approximations is based on integration rather than conventional differentiation.
Tanner, Roger I. +3 more
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Alexandria Engineering Journal, 2022 Investigation of spectral (collocation or Galerkin) methods for the solution approximation of different classes of optimal control problems have had been increased in recent years.
Pang Xiaobing +4 more
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New recursive approximations for variable-order fractional operators with applications
Mathematical Modelling and Analysis, 2018 To broaden the range of applicability of variable-order fractional differential models, reliable numerical approaches are needed to solve the model equation.In this paper, we develop Laguerre spectral collocation methods for solving variable-order ...
Mahmoud A. Zaky +3 more
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Open Physics, 2020 The present study aims to design a second-order nonlinear Lane–Emden coupled functional differential model and numerically investigate by using the famous spectral collocation method.
Abdelkawy Mohamed A. +3 more
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An interhemispheric, statistical study of nightside spectral width distributions from coherent HF scatter radars [PDF]
, 2002 International audienceA statistical investigation of the Doppler spectral width parameter routinely observed by HF coherent radars has been conducted between the Northern and Southern Hemispheres for the nightside ionosphere.
Milan, S. E. +16 more
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