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


Aydın Akgün F. , Rasulov Z.

KRAGUJEVAC JOURNAL OF MATHEMATICS, vol.49, no.3, pp.485-494, 2025 (Journal Indexed in ESCI)

  • Publication Type: Article / Article
  • Volume: 49 Issue: 3
  • Publication Date: 2025
  • Journal Name: KRAGUJEVAC JOURNAL OF MATHEMATICS
  • Journal Indexes: Scopus
  • Page Numbers: pp.485-494

Abstract

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.