NUMERICAL METHOD FOR SOLUTION OF FOURTH-ORDER VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS BY GREEN’S FUNCTION

Aydın Akgün F., Rasulov Z.

KRAGUJEVAC JOURNAL OF MATHEMATICS, cilt.49, sa.3, ss.485-494, 2025 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 3
  • Basım Tarihi: 2025
  • Dergi Adı: KRAGUJEVAC JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.485-494
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we generalize Picard-Green’s Embedded method for solving fourth-order Volterra integro-differential equations. We prove the existence and uniqueness theorems. Moreover, we illustrate some numerical examples to present the better approximation with a minimum error. We use MATLAB for numerical solutions.