A Fourth-Order Robust Numerical Method for Integro-differential Equations

Authors

  • Ali Filiz Department of Mathematics Faculty of Science Adnan Menderes University 09010 Aydin-Turkey

Keywords:

Volterra integro-differential (integral) equation, -method, Runge-Kutta Methods, Truncation error, quadrature rule, fourth order

Abstract

In this paper linear Volterra integro-differential equations are discussed. Examples of these questions have been solved numerically using various methods for ODE (Ordinary Differential Equation) parts and quadrature rules for integral parts. Finally, a new fourth order routine is used for the numerical solution of the linear integro-differential equation.

Author Biography

Ali Filiz, Department of Mathematics Faculty of Science Adnan Menderes University 09010 Aydin-Turkey

Head of  Information techology

at  Adnan MenderesUniversity

References

Assoc. Prof. Dr. Ibrahim CANAK

Ege University

Faculty of Science

Department of mathematics

Bornova-Izmir Turkey

email: ibrahimcanak@yahoo.com

------------------------------------------------

Assit. Prof. Dr. Niyazi SAHIN

Mugla SITKI Kocman University

Faculty of Science

Department of mathematics

MUGLA Turkey

email: nisa70@mu.edu.tr

Downloads

Published

2013-07-18

How to Cite

Filiz, A. (2013). A Fourth-Order Robust Numerical Method for Integro-differential Equations. Asian Journal of Fuzzy and Applied Mathematics, 1(1). Retrieved from https://ajouronline.com/index.php/AJFAM/article/view/305

Issue

Section

Articles