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Approximation Method for Volterra Integral Equation of the First Kind



Generaly, to solve integral equation of the first kind must be use Tikhonov regularization when the free mumber of the equation is noised. In this work we present a convergence analysis for solving Volterra integral equation of the first kind by a new technical resemble to Lavrentiev classical method, where we find it better than Tikhonov's method. Some examples illustrate the performance of the this method.


First-kind integral equations of Volterra, Lavrentiev method, numerical quadrature, discrete appoximations.

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