Spline approximation to the solution of the Volterra integral equation of the second kind

Netravali, Arun N.

doi:10.1090/S0025-5718-1973-0366068-8

Spline approximation to the solution of the Volterra integral equation of the second kind
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by Arun N. Netravali PDF

Math. Comp. 27 (1973), 99-106 Request permission

Abstract:

A cubic spline approximation in ${C^2}$ to the solution of a general Volterra integral equation of the second kind is constructed. Under certain conditions, convergence of the approximation and its first two derivatives is proved and error bounds are obtained. The question of stability is not examined.

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