volume 219, issue 9, P4423-4433 2013
DOI: 10.1016/j.amc.2012.10.046
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Abstract: Keywords:Cauchy integral equations Adomian decomposition method The method of regularization a b s t r a c t A new approach is presented to resolve Cauchy integral equations of the first kind in the general case by first considering a regularized integral equation and then transforming it into a canonical form suitable for applying the Adomian decomposition method (ADM).We obtain a decomposition solution u of the regularized integral equation and prove the convergence of our new combined method. As the regula…

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