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 : 20 | Download : 4

Publication Date : 2021-10-15

Article Type : Research Paper

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