Results 281 to 290 of about 494,879 (330)

Fourier Transform Approach to Boundary Domain Integral Equations for Elastic Composites With Domain Decomposition and Multi Reference Parameters

International Journal for Numerical Methods in Engineering
In this article, displacement and strain periodic boundary domain integral equations for homogenization problems of elastic composites are derived in the context of FFT homogenization methods.
Q. To, Guy Bonnet
semanticscholar   +1 more source

Higher order numerical methods for solving fractional differential equations

, 2014
In this paper we introduce higher order numerical methods for solving fractional differential equations. We use two approaches to this problem. The first approach is based on a direct discretisation of the fractional differential operator: we obtain a ...
Yubin Yan, K. Pal, N. Ford
semanticscholar   +1 more source

Numerical stability analysis of numerical methods for volterra integral equations with delay argument

Applied Mathematics and Mechanics, 1995
The stability of \((\rho, \sigma)\)-reducible quadrature methods, applied to the test equation \(y(t)= y_0+ \int^t_0 (py(s)+ qy(s- \tau))ds\), is studied. The results are closely related to stability investigations of linear multistep methods for the delay equation \(y'(t)= py(t)+ qy(t- \tau)\).
Tian, Hongjiong, Kuang, Jiaoxun
openaire   +1 more source

Laguerre-Krall polynomials for nonlinear integral equations of the first kind

Journal of Al-Qadisiyah for Computer Science and Mathematics
In this article, numerical method based on Laguerre-Krall polynomials for solving nonlinear integral equations (NIE) of the first type which is a malignant problem is discussed.
Bashar Najm Abdullah Hussein Al janabi
semanticscholar   +1 more source

Explicit methods of numerical integration for parabolic equations

Mathematical Models and Computer Simulations, 2011
The principles are considered for the construction of numerical time integration schemes of parabolic equations. An approach is presented based on explicit iterations with Chebyshev parameters, which can be used to construct the schemes of the first and second orders of accuracy.
openaire   +1 more source

Stability analysis of fast numerical methods for Volterra integral equations

2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CAPOBIANCO, Giovanni, D. CONTE, I. DEL PRETE, E. RUSSO   +3 more
openaire   +4 more sources

Numerical Evaluation Methods for Nonlinear Singular Integral Equations

2000
Non-linear singular integral equations are widely used and connected with applications in several field of engineering mechanics like structural analysis, fluid mechanics and aerodynamics. This leads to the necessity to derive solutions for the non-linear singular integral equations arising in applications, by using some approximate and constructive ...
openaire   +1 more source

Numerical Methods for Linear Integral Equations

2023
Abdelwahab Kharab, Ronald B. Guenther
openaire   +1 more source

Advancements in Numerical Analysis: Techniques for Solving Volterra and Fredholm Equations

Journal of Al-Qadisiyah for Computer Science and Mathematics
This work concerns the construction of techniques to facilitate numerical analysis to solve basic computational mathematics problems of Volterra and Fredholm integral equations.
Aseel Ameen Harbi, Zahraa Nabil Kazem, Safa Ehab Mohammed   +2 more
semanticscholar   +1 more source

A Method of Numerical Integration for Trajectories with Variational Equations

AIAA Journal, 1972
A method of numerical integration is described which was developed for the computation of ballistic missile trajectories. But the technique is generally applicable to the initial-value problem for systems of ordinary differential equations. The associated variational equations are integrated simultaneously to provide the sensitivity coefficients of the
openaire   +1 more source