Results 11 to 20 of about 18,385 (285)

On Well-Conditioned Spectral Collocation and Spectral Methods by the Integral Reformulation [PDF]

SIAM Journal on Scientific Computing, 2016
17 pages, 8 ...
Kui Du
openaire   +5 more sources

A new high accurate approximate approach to solve optimal control problems of fractional order via efficient basis functions

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, Xingfa Yang, Mohammad Hadi Noori Skandari, Emran Tohidi, Stanford Shateyi   +4 more
doaj   +1 more source

Spectral Collocation Methods for Fractional Integro-Differential Equations with Weakly Singular Kernels

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
doaj   +1 more source

Applications of Fractional Differentiation Matrices in Solving Caputo Fractional Differential Equations

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, Xinxia Zhang, Jihan Wang, Xiaoyan Zeng   +3 more
doaj   +1 more source

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
doaj   +7 more sources

(Spectral) Chebyshev collocation methods for solving differential equations

Numerical Algorithms, 2023
25 pages, 2 figures, 2 ...
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro   +2 more
openaire   +4 more sources

Convergence of spectral methods for hyperbolic initial-boundary value systems [PDF]

, 1987
A convergence proof for spectral approximations is presented for hyperbolic systems with initial and boundary conditions. The Chebyshev collocation is treated in detail, but the final result is readily applicable to other spectral methods, such as ...
Gottlieb, D., Lustman, L., Tadmor, E.
core   +2 more sources

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, Eid H. Doha, Taha M. Taha, Dumitru Baleanu   +3 more
doaj   +1 more source

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
doaj   +1 more source

ADI-Spectral Collocation Methods for Two-Dimensional Parabolic Equations

East Asian Journal on Applied Mathematics, 2020
Summary: ADI-spectral collocation methods for two-dimensional parabolic equations on bounded and unbounded domains are studied. A spectral collocation scheme is adopted for spatial discretisation and the Crank-Nicolson ADI scheme is used for time discretisation.
Gu, Dong-Qin, Zhang, Chao, Wang, Zhong-Qing   +2 more
openaire   +2 more sources