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Regularization of an Abel equation. (English) Zbl 0891.65137

A class of Abel equations in the space \(C_0[0,1]\) of continuous functions with compact supports are replaced with their finite difference approximations on a uniform grid and then regularized by the standard Tikhonov method. Estimates for regularized and discretized finite-dimensional solutions of the initial value problem are presented in the case with perturbed data.
Reviewer: R.Lepp (Tallinn)

MSC:

65R20 Numerical methods for integral equations
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
65R30 Numerical methods for ill-posed problems for integral equations
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