- Hacettepe Journal of Mathematics and Statistics
- Vol: 50 Issue: 5
- Morgan-Voyce polynomial approach for ordinary linear delay integro-differential equations with varia...
Morgan-Voyce polynomial approach for ordinary linear delay integro-differential equations with variable delays and variable bounds
Authors : Mustafa Özel, Mehmet Tarakçi, Mehmet Sezer
Pages : 1434-1447
Doi:10.15672/hujms.569245
View : 11 | Download : 2
Publication Date : 2021-10-15
Article Type : Research
Abstract :An 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.Keywords : Morgan-Voyce polynomials, integro differential equations with variable delays, matrix-collocation method, residual error analysis