Collocation Methods for Nonlinear Volterra Integro-Differential Equations with Infinite Delay*

نویسندگان

  • Hermann Brunner
  • HERMANN BRUNNER
چکیده

In this paper we study the numerical solution of nonlinear Volterra integrodifferential equations with infinite delay by spline collocation and related Runge-Kutta type methods. The kernel function in these equations is of the form k(t,s,y(t),y(s)), with a representative example given by Volterra's population equation, where we have k(t, s, y(t),y(s)) = a(t s) ■ G(y(t), y(s)). '

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تاریخ انتشار 2010