Results 11 to 20 of about 11,602,301 (296)

Studies on the Method of Orthogonal Collocation VII: An Efficient Collocation Method for Diffusion-convection Problems with Chemical Reaction

open access: yesJournal of King Saud University: Engineering Sciences, 2008
In this work we present a new numerical scheme based on orthogonal collocation method to solve a reacting flow problem. The method is based on recasting the problem to become a larger set of first order differential equations and we show by numerical ...
Moustafa A. Soliman, Khalid Alhumaizi
doaj   +2 more sources

Studies on the Method of Orthogonal Collocation II. An Efficient Numerical Method for the Solution of the Transient Heat Conduction Problem

open access: yesJournal of King Saud University: Engineering Sciences, 1999
An efficient numerical method for the solution of the transient heat conduction problem is developed using the orthogonal collocation method. The method is based on dividing the domain of temperature change into two zones; a zone for which the ...
Mostafa Ali Soliman, A.A. Ibrahim
doaj   +2 more sources

An Overrange Collocation Method

open access: yesComputer Modeling in Engineering & Sciences, 2011
In this paper, a new meshless method called the overrange collocation method (ORCM) is proposed. By introducing some collocation points, which are located at outside of domain of the analyzed body, unsatisfactory issue of the positivity conditions of boundary points in collocation methods can be avoided.
Y.-M. Guo
openaire   +2 more sources

A class of cubic and quintic spline modified collocation methods for the solution of two-point boundary value problems [PDF]

open access: yes, 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
core   +5 more sources

Collocation, semantic prosody and near synonymy: A cross-linguistic perspective. [PDF]

open access: yes, 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
core   +3 more sources

Computing vibrational spectra using a new collocation method with a pruned basis and more points than basis functions: avoiding quadrature [PDF]

open access: yes, 2023
We present a new collocation method for computing the vibrational spectrum of a polyatomic molecule. Some form of quadrature or collocation is necessary when the potential energy surface does not have a simple form that simplifies the calculation of the ...
Tucker, CARRINGTON, Jesse , Simmons
core   +1 more source

A Spectral Method for Two-Dimensional Ocean Acoustic Propagation

open access: yesJournal 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
doaj   +1 more source

Approximate Solution of a Class of Highly Oscillatory Integral Equations Using an Exponential Fitting Collocation Method

open access: yesJournal of Mathematics, 2023
This paper deals with the numerical solution of a class of highly oscillatory Volterra integral equations by collocation methods based on the exponential fitting technique.
S. Khudhair Abbas   +2 more
doaj   +1 more source

Efficient Solution of Burgers’, Modified Burgers’ and KdV–Burgers’ Equations Using B-Spline Approximation Functions

open access: yesMathematics, 2023
This paper discusses the application of the orthogonal collocation on finite elements (OCFE) method using quadratic and cubic B-spline basis functions on partial differential equations.
Nabendra Parumasur   +2 more
doaj   +1 more source

Numerical Solution Of The Heat Equation By Cubic B-Spline Collocation Method [PDF]

open access: yes, 2023
This work proposes a numerical scheme for heat parabolic problem by implementing a collocation method with a cubic B-spline for a uniform mesh. The key idea of this method is to apply forward finite difference and Crank–Nicolson methods for time and ...
A. Sabawi, Younis, Q. Hamad, Hoshman
core   +1 more source

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