Results 11 to 20 of about 1,769 (302)
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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Spectral analysis of matrices in isogeometric collocation methods
, 2014 We consider a linear full elliptic second order partial differential equation in a d-dimensional domain, d ≥ 1, approximated by isogeometric collocation methods based on uniform B-splines of degrees p := (p_1,…,p_d), p_j ≥ 2, j = 1,…,d. We give a construction of the inherently non-symmetric matrices arising from this approximation technique and we ...
Donatelli, Marco +4 more
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(Spectral) Chebyshev collocation methods for solving differential equations
Numerical Algorithms, 2023 25 pages, 2 figures, 2 ...
Pierluigi Amodio +2 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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Journal of Mathematics, 2022 In this paper, we propose and analyze a spectral approximation for the numerical solutions of fractional integro-differential equations with weakly kernels.
Xiulian Shi
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Fractal and Fractional, 2023 This paper pursues obtaining Jacobi spectral collocation methods to solve Caputo fractional differential equations numerically. We used the shifted Jacobi–Gauss–Lobatto or Jacobi–Gauss–Radau quadrature nodes as the collocation points and derived the ...
Zhongshu Wu +3 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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Thermal Analysis of Convective-Radiative Fin with Temperature-Dependent Thermal Conductivity Using Chebychev Spectral Collocation Method [PDF]
Journal of Applied and Computational Mechanics, 2018 In this paper, the Chebychev spectral collocation method is applied for the thermal analysis of convective-radiative straight fins with the temperature-dependent thermal conductivity.
George Oguntala, Raed Abd-Alhameed
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Analytic vs. numerical solutions to a Sturm-Liouville transmission eigenproblem
Journal of Numerical Analysis and Approximation Theory, 2019 An elliptic one-dimensional second order boundary value problem involving discontinuous coefficients, with or without transmission conditions, is considered.
Calin-Ioan Gheorghiu, Bertin Zinsou
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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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