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

ELMACI D., Savaşanerİl N. B., Dal F., Sezer M.

Turkish Journal of Mathematics, vol.46, no.1, pp.99-122, 2022 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.3906/mat-2106-83
  • 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
  • Keywords: Euler polynomials, collocation points, residual error analysis, systems of integro differential equations
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this study, a collocation method using Euler method for solving systems of linear integro-differential equations is presented. The solution process is illustrated and various physically relevant results are obtained. Comparison of the obtained results with exact solutions 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