Regularization of an Abel equation
Copyright policy )Regularization of an Abel equation
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.
- Pennsylvania State University United States
ill-posed problems, Tikhonov method, finite difference approximations, Abel equations, Numerical methods for integral equations, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), Numerical methods for ill-posed problems for integral equations
ill-posed problems, Tikhonov method, finite difference approximations, Abel equations, Numerical methods for integral equations, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), Numerical methods for ill-posed problems for integral equations
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