The block-by-block method with Romberg quadrature for the solution of nonlinear volterra integral equations on large intervals
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...
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| Date: | 2012 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Український математичний журнал
2012
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/164448 |
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| 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. |