On the application of Euler's method to linear integro differential equations and comparison with existing methods

Authors

DENİZ ELMACI
NURCAN BAYKUŞ SAVAŞANERİL
FADİME DAL
MEHMET SEZER

DOI

10.3906/mat-2106-83

Abstract

In this study, a collocation method using Euler method for solving systems of linear integro-differential equations is presented. Thesolution process is illustrated and various physically relevant results are obtained. Comparison of the obtained results with exactsolutions and solutions obtained by other methods show that the proposed method is an effective and highly promising for linear integro-differential equation systems. All of numerical calculations have been made on a computer using a program written in Matlab.

Keywords

Euler polynomials, collocation points, residual error analysis, systems of integro differential equations

First Page

99

Last Page

122

Recommended Citation

ELMACI, DENİZ; SAVAŞANERİL, NURCAN BAYKUŞ; DAL, FADİME; and SEZER, MEHMET (2022) "On the application of Euler's method to linear integro differential equations and comparison with existing methods," Turkish Journal of Mathematics: Vol. 46: No. 1, Article 8. https://doi.org/10.3906/mat-2106-83
Available at: https://journals.tubitak.gov.tr/math/vol46/iss1/8