In this paper we present a projection method for linear second kind Volterra integral equations with kernels having weak diagonal and/or boundary singularities of algebraic type. The proposed approach is based on a specific optimal interpolation process and a smoothing transformation. The convergence of the method is proved in suitable spaces of functions, equipped with the uniform norm. Several tests show the accuracy of the presented method.
A projection method with smoothing transformation for second kind Volterra integral equations
Occorsio D., Fermo L. (2021) "A projection method with smoothing transformation for second kind Volterra integral equations " Dolomites Research Notes on Approximation, 14(1), 12-26. DOI: 10.14658/PUPJ-DRNA-2021-1-2
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Dolomites Research Notes on Approximation
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