2017
Том 69
№ 9

All Issues

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

Katani R., Shahmorad S.

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Abstract

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 performance of the method is illustrated by some numerical examples.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 7, pp 1050-1063.

Citation Example: Katani R., Shahmorad S. The block by block method with Romberg quadrature for solving nonlinear Volterra integral equations on the large intervals // Ukr. Mat. Zh. - 2012. - 64, № 7. - pp. 919-931.

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