Results 311 to 320 of about 73,046 (353)

An exponential method of numerical integration of ordinary differential equations

Communications of the ACM, 1963
A formula for numerical integration is prepared, which involves an exponential term. This formula is compared to two standard integration methods, and it is shown that for a large class of differential equations, the exponential formula has superior stability properties for large step sizes.
openaire   +2 more sources

Numerical Integration of Shell Equations Using the Field Method

Journal of Applied Mechanics, 1974
The “field method” for the numerical solution of even-order linear boundary-value problems in ordinary differential equations is formulated. This method converts the boundary-value problem into two successive initial-value problems, which may be solved by standard forward integration techniques.
openaire   +2 more sources

Some analytical methods for solving an integral differential equation using the Chebyshev grouping method

Journal of Education for Pure Science
   The article aims to solve a special type of differential-integral equations of the second type. This article uses a collocation spectral method based on Chebyshev functions for differential-integral equation problems.
Ameen K HAMID, Javad Vahidi
semanticscholar   +1 more source

Numerical Methods for Integral Equations

, 2009
I. Doležel, P. Karban, P. Solín
semanticscholar   +1 more source

Collocation and Collocation-Quadrature Methods for Strongly Singular Integral Equations

Weighted Polynomial Approximation and Numerical Methods for Integral Equations, 2021
P. Junghanns, G. Mastroianni, I. Notarangelo   +2 more
semanticscholar   +1 more source

An Accurate Numerical Method for Systems of Differentio-Integral Equations

2013
A very simple and accurate numerical method which is applicable to systems of differentio-integral equations with quite general boundary conditions has been devised. Although the basic idea of this method stems from the Keller Box method, it solves the problem of systems of differential equations involving integral operators not previously considered ...
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Numerical Solution of Second-Order Fredholm Integro-Differential Equations Using the Chebyshev Collocation Method

2024 International Conference on Science, Engineering and Business for Driving Sustainable Development Goals (SEB4SDG)
This paper explores the reliability of the Chebyshev collocation Method (CCM) as a numerical approach used for solving a specific class of equations known as the second-order Fredholm Integro-Differential Equations (FIDEs).
S. Fadugba, A. F. Olanrewaju, F.E. Duke-Umanah   +2 more
semanticscholar   +1 more source

Numerical Methods for Linear Integral Equations

2023
Abdelwahab Kharab, Ronald B. Guenther
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Computational methods for integral equations: Frontmatter

, 1985
L. Delves, J. Mohamed
semanticscholar   +1 more source

A survey of numerical methods for the solution of Fredholm integral equations of the second kind

, 1977
L. Wahlbin, K. Atkinson
semanticscholar   +1 more source