The Solution of Volterra Integral Equations of the First Kind by Piecewise Polynomials
- 1 December 1973
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 12 (3) , 295-302
- https://doi.org/10.1093/imamat/12.3.295
Abstract
Piecewise polynomials of degree m ≥ 1 and of continuity class C[0, a] are used to obtain global approximations to the solution of a given non-linear Volterra integral equation of the first kind on an interval [0, a]. It is shown that the approach chosen here yields, under certain conditions on the kernel of the integral equation, convergent methods of order m.Keywords
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