Morgan-Voyce polynomial approach for ordinary linear delay integro-differential equations with variable delays and variable bounds
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.50, no.5, pp.1434-1447, 2021 (SCI-Expanded, TRDizin)
- Publication Type: Article / Article
- Volume: 50 Issue: 5
- Publication Date: 2021
- Doi Number: 10.15672/hujms.569245
- Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), TR DİZİN (ULAKBİM)
- Page Numbers: pp.1434-1447
- Keywords: Morgan-Voyce polynomials, integro differential equations with variable delays, matrix-collocation method, residual error analysis
- Dokuz Eylül University Affiliated: Yes
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.