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Computational methods for a nonlinear Volterra integral equation

TítuloComputational methods for a nonlinear Volterra integral equation
Publication TypeUnpublished
Year of Publication2005
AuthorsRebelo M, Diogo T, Lima P
Series TitlePreprint
AbstractIn this work we are concerned with the numerical solution of a nonlinear weakly singular Volterra integral equation with a nonsmooth solution. We investigate the application of product integration methods and a detailed analysis of the Trapezoidal method is given. In order to improve the numerical results we consider extrapolation procedures and collocation methods based on graded meshes. Several examples are presented illustrating the performance of the methods.
URLhttp://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2005/28_05.pdf