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, cilt.46, sa.1, ss.99-122, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3906/mat-2106-83
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.99-122
  • Anahtar Kelimeler: Euler polynomials, collocation points, residual error analysis, systems of integro differential equations, FREDHOLM INTEGRODIFFERENTIAL EQUATIONS, NUMERICAL-SOLUTION, COLLOCATION METHOD, SOLVING SYSTEMS, MATRIX-METHOD, ALGORITHM
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

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.