A projection method for linear Fredholm–Volterra integro-differential equations. Issue 1 (11th December 2019)

• Record Type: Journal Article
• Authors: İşler Acar, Neşe; Daşcıoğlu, Ayşegül
• Is Part Of: Journal of Taibah University for science. Volume 13:Issue 1(2019)
• Page Start: 644
• Page End: 650
• Publication Date: 2019-12-11
• Subjects: Bernstein polynomials -- polynomial approach -- collocation method -- linear Fredholm–Volterra integro-differential equations; 45J05 -- 65L60; Science -- Periodicals; Science; Periodicals; 505
• DOI: 10.1080/16583655.2019.1616962
• Languages: English
• ISSNs: 1658-3655

Abstract

ABSTRACT: In this study, a collocation method, one of the type of projection methods based on the generalized Bernstein polynomials, is developed for the solution of high-order linear Fredholm–Volterra integro-differential equations containing derivatives of unknown function in the integral part. The method is valid for the mixed conditions. The convergence analysis and error bounds of the method are also given. Besides, six examples are presented to demonstrate the applicability and validity of the method.