Results 11 to 20 of about 28,522,762 (408)
Journal of King Saud University - Engineering Sciences, 2000 Differential equations for which the zeros of Laguerre and Hermite polynomials are suitable collocation points are identified. It is shown that the equations representing tubular reactors with axial dispersion can be solved efficiently using the zeros of Laguerre polynomials to obtain the inlet concentration.
M.A. Soliman
doaj +5 more sources
A fractional B-spline collocation method for the numerical solution of fractional predator-prey models [PDF]
, 2018 We present a collocation method based on fractional B-splines for the solution of fractional differential problems. The key-idea is to use the space generated by the fractional B-splines, i.e., piecewise polynomials of noninteger degree, as approximating
Pitolli, Francesca
core +2 more sources
Optimal-order isogeometric collocation at Galerkin superconvergent points [PDF]
, 2016 In this paper we investigate numerically the order of convergence of an isogeometric collocation method that builds upon the least-squares collocation method presented in [1] and the variational collocation method presented in [2].
Montardini, Monica +2 more
core +2 more sources
Alexandria Engineering Journal, 2017 The aim of this article was to apply collocation method for boundary layer flow of an Eyring-Powell fluid over a stretching sheet in unbounded domain. The collocation method combined with a special technique, has been successfully applied for nonlinear ...
J. Rahimi +3 more
doaj +2 more sources
A Deep Collocation Method for the Bending Analysis of Kirchhoff Plate [PDF]
Computers Materials & Continua, 2021 In this paper, a deep collocation method (DCM) for thin plate bending problems is proposed. This method takes advantage of computational graphs and backpropagation algorithms involved in deep learning.
Hongwei Guo, X. Zhuang, T. Rabczuk
semanticscholar +1 more source
Stochastic deep collocation method based on neural architecture search and transfer learning for heterogeneous porous media [PDF]
Engineering computations, 2020 We present a stochastic deep collocation method (DCM) based on neural architecture search (NAS) and transfer learning for heterogeneous porous media. We first carry out a sensitivity analysis to determine the key hyper-parameters of the network to reduce
Hongwei Guo +4 more
semanticscholar +1 more source
Analysis of three-dimensional potential problems in non-homogeneous media with physics-informed deep collocation method using material transfer learning and sensitivity analysis [PDF]
Engineering computations, 2020 In this work, we present a deep collocation method (DCM) for three-dimensional potential problems in non-homogeneous media. This approach utilizes a physics-informed neural network with material transfer learning reducing the solution of the non ...
Hongwei Guo +4 more
semanticscholar +1 more source
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
doaj +1 more source
Journal of King Saud University - Engineering Sciences, 2009 The author (1992) developed a spline collocation method that was successfully applied to continuous systems described by differential equations. It is based on selecting the spline point such that the second derivative of the independent variable is zero at the spline point.
Moustafa A. Soliman
openaire +4 more sources
Space–time spectral collocation method for Klein–Gordon equation
Journal of Algorithms & Computational Technology, 2021 By using the Legendre–Laguerre collocation method, we can construct a spectral collocation scheme to solve the Klein–Gordon equation on the half-line.
Ping Zhang, Te Li, Yuan-Hao Zhang
doaj +1 more source