Morgan-Voyce polynomial approach for ordinary linear delay integro-differential equations with variable delays and variable bounds

Mustafa ÖzelMehmet TarakçıMehmet Sezer2024-07-242024-07-2420211303-5010http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/23931An effective matrix method to solve the ordinary linear integro-differential equations with variable coefficients and variable delays under initial conditions is offered in this article. Our method consists of determining the approximate solution of the matrix form of Morgan-Voyce and Taylor polynomials and their derivatives in the collocation points. Then, we reconstruct the problem as a system of equations and solve this linear system. Also, some examples are given to show the validity and the residual error analysis is investigated.engMorgan-Voyce polynomial approach for ordinary linear delay integro-differential equations with variable delays and variable boundsAraştırma Makalesi10.15672/hujms.569245