Collocation methods for nonlinear Volterra integro-differential equations with infinite delay
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- by Hermann Brunner PDF
- Math. Comp. 53 (1989), 571-587 Request permission
Abstract:
In this paper we study the numerical solution of nonlinear Volterra integro-differential 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 $k(t,s,y(t),y(s)) = a(t - s) \cdot G(y(t),y(s))$.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Math. Comp. 53 (1989), 571-587
- MSC: Primary 65R20; Secondary 45D05, 92A15
- DOI: https://doi.org/10.1090/S0025-5718-1989-0979936-2
- MathSciNet review: 979936