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

Elmacı D., Baykuş Savaşaneril N., Dal F., Sezer M.

TURKISH JOURNAL OF MATHEMATICS, vol.46, no.1, pp.99-122, 2022 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 46 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.3906/mat-2106-8
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.99-122
  • Dokuz Eylül University Affiliated: Yes

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.