MORGAN-VOYCE MATRIX METHOD FOR GENERALIZED FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA-TYPE


ÖZEL M., KÜRKÇÜ Ö. K., SEZER M.

JOURNAL OF SCIENCE AND ARTS, no.2, pp.295-310, 2019 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: Issue: 2
  • Publication Date: 2019
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.295-310
  • Keywords: Morgan-Voyce polynomials, Integro-differential equation, Matrix method, Collocation points, Error Analysis, DIFFERENTIAL-DIFFERENCE EQUATIONS, COLLOCATION METHOD, NUMERICAL-SOLUTION
  • Dokuz Eylül University Affiliated: Yes

Abstract

This study deals with the generalized linear Volterra-type functional integro-differential equations with mixed delays. A combination between matrix-collocation method and Morgan-Voyce polynomials is developed to solve these type equations. In addition, an error analysis technique is given to improve the obtained solutions. Numerical examples are performed to confirm the efficiency and validity of the method. The comparisons are made in tables and figures. The discussions show that the method is fast and precise.