The block by block method with Romberg quadrature for solving nonlinear Volterra integral equations on the large intervals

We investigate the numerical solution of nonlinear Volterra integral equations by block by block method, which is useful specially for solving integral equations on large-size intervals. A convergence theorem is proved that shows that the method has at least sixth order of convergence. Finally, the...

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Bibliographic Details
Date:2012
Main Authors: Katani, R., Shahmorad, S., Катані, Р., Шахмурад, С.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2012
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2628
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal