A fifth-order numerical convergence for linear Volterra integro-differential equation


Filiz A., Isik A., EKİCİ M.

Life Science Journal, vol.10, no.4, pp.302-309, 2013 (Journal Indexed in SCI Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 4
  • Publication Date: 2013
  • Title of Journal : Life Science Journal
  • Page Numbers: pp.302-309
  • Keywords: A fifth-order accuracy, Lagrange polynomial interpolating, Quadrature formulae, Runge-Kutta methods, Volterra integro-differential equation

Abstract

In this paper a new fifth-order numerical solution of linear Volterra integro-differential equation is discussed. Example of this question has been solved numerically using the Runge-Kutta-Verner method for Ordinary Differential Equation (ODE) part and Newton-Cotes formulae (quadrature rules) for integral parts. Finally, a new fifth-order routine is devised for numerical solution of the linear Volterra integro-differential equation.