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


Özel M., Tarakçı M., Sezer M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.50, no.5, pp.1434-1447, 2021 (SCI-Expanded) identifier

  • 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)
  • Page Numbers: pp.1434-1447
  • Keywords: Morgan-Voyce polynomials, integro differential equations with variable delays, matrix-collocation method, residual error analysis, DIFFERENTIAL-DIFFERENCE EQUATIONS, INTEGRAL-EQUATIONS, NUMERICAL APPROACH, STABILITY, EXISTENCE, DICKSON
  • 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.