The block-by-block method with Romberg quadrature for the solution of nonlinear volterra integral equations on large intervals

• Published in: Український математичний журнал
• Date: 2012
• Main Authors: Katani, R., Shahmorad, S.
• Format: Article
• Language: English
• Published: Український математичний журнал 2012
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164448
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The block-by-block method with Romberg quadrature for the solution of nonlinear volterra integral equations on large intervals / R. Katani, S. Shahmorad // Український математичний журнал. — 2012. — Т. 64, № 7. — С. 919-931. — Бібліогр.: 14 назв. — англ.

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