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.
Euler polynomials, collocation points, residual error analysis, systems of integro differential equations
ELMACI, DENİZ; SAVAŞANERİL, NURCAN BAYKUŞ; DAL, FADİME; and SEZER, MEHMET
"On the application of Euler's method to linear integro differential equations and comparison with existing methods,"
Turkish Journal of Mathematics: Vol. 46:
1, Article 8.
Available at: https://journals.tubitak.gov.tr/math/vol46/iss1/8