Journal of Applied Mathematics & Bioinformatics

A regularized Dynamical System Method for nonlinear Ill-posed Hammerstein type operator equations

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• Abstract

  A combination of Dynamical System Method(DSM) and a regularization method has been considered for obtaining a stable approximate solution for ill-posed Hammerstein type operator equations. By choosing the regularization parameter according to an adaptive scheme considered by Pereverzev and Schock (2005) an order optimal error estimate has been obtained. Moreover the method that we consider converges exponentially compared to the linear convergence obtained by George and Nair (2008).