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

Year 2021, , 1434 - 1447, 15.10.2021

Mustafa Özel , Mehmet Tarakçı , Mehmet Sezer

https://doi.org/10.15672/hujms.569245

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

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