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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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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 $k(t,s,y(t),y(s)) = a(t - s) \cdot G(y(t),y(s))$.
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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