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Numeric solution of Volterra integral equations of the first kind with discontinuous kernels

... The accuracy of proposed numerical methods is O(1/N) and O(1/N-2) respectively. A certain iterative numerical scheme enjoying the regularization properties is suggested. Furthermore, generalized numerical method for nonlinear equations is adduced. The midpoint quadrature rule in all the cases is employed. In conclusion several numerical examples are applied in order to demonstrate the efficiency of proposed numerical methods. (C) 2016 Elsevier B.V. All rights reserved. входит

Теги: volterra integral equations , discontinuous kernels , direct quadrature method , regularization , evolving dynamical systems , midpoint quadrature , model , systems


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