Results 41 to 50 of about 5,668 (170)

A Collocation Numerical Method for Highly Oscillatory Algebraic Singular Volterra Integral Equations

Fractal and Fractional
The highly oscillatory algebraic singular Volterra integral equations cannot be solved directly. A collocation numerical method is proposed to overcome the difficulty created by the highly oscillatory algebraic singular kernel.
SAIRA, Wen-Xiu Ma, Guidong Liu
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A collocation spectral method for two-dimensional Sobolev equations

Boundary Value Problems, 2018
This article mainly studies a collocation spectral method for two-dimensional (2D) Sobolev equations. To this end, a collocation spectral model based on the Chebyshev polynomials for the 2D Sobolev equations is first established. And then, the existence,
Shiju Jin, Zhendong Luo
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An Overrange Collocation Method

Computer 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.
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One-Point Spectrum Nordsieck Almost Collocation Methods

International Journal of Circuits, Systems and Signal Processing, 2020
A family of multivalue collocation methods for the numerical solution of differen- tial problems is proposed. These methods are developed in order to be suitable for the solu- tion of stiff problems, since they are highly stable and do not suffer from order reduction, as they have uniform order of convergence in the whole integration interval.
Conte Dajana, D'Ambrosio Raffaele, D'arienzo Maria Pia, Paternoster Beatrice   +3 more
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Legendre collocation method and its convergence analysis for the numerical solutions of the conductor-like screening model for real solvents integral equation

Bulletin of Computational Applied Mathematics, 2016
In this paper, a reliable algorithm for solving the nonlinear Hammerstein integral equation arising from chemical phenomenon is presented. The conductor-like screening model for real solvents (COSMO-RS) integral equation will be solved by the shifted ...
Esmail Hesameddini, Mehdi Shahbazi
doaj  

Studies on the Method of the Orthogonal Collocation VIII: A Spline Collocation Method for Distillation Columns Simulation

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

Journal 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
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Numerical approximation of space-fractional diffusion equation using Laguerre spectral collocation method

International Journal of Mathematics for Industry
The space-fractional diffusion equation is extensively used to model various issues in engineering and mathematics. This paper addresses the numerical approximation of the space-fractional-order diffusion equation, using a fractional operator in the ...
Minilik Ayalew, Mekash Ayalew, Mulualem Aychluh   +2 more
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A Crank–Nicolson collocation spectral method for the two-dimensional telegraph equations

Journal of Inequalities and Applications, 2018
In this paper, we mainly focus to study the Crank–Nicolson collocation spectral method for two-dimensional (2D) telegraph equations. For this purpose, we first establish a Crank–Nicolson collocation spectral model based on the Chebyshev polynomials for ...
Yanjie Zhou, Zhendong Luo
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A Fully-Discrete Trigonometric Collocation Method

Journal of Integral Equations and Applications, 1993
The rough contents of this very important paper are as follows: introduction, discrete collocation with trigonometric polynomials, error analysis, the logarithmic-kernel integral equation, appendix: technical lemmas and references. The authors, which are really active researchers in the boundary element method, refine their previous results about ...
McLean, W., Prössdorf, S., Wendland, W.L.   +2 more
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