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

被引：0
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作者：
R. Katani
S. Shahmorad
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来源：
Ukrainian Mathematical Journal | 2012年 / 64卷
关键词：
Integral Equation; Large Interval; Volterra Integral Equation; Sixth Order; Nonlocal Boundary Condition;
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学科分类号：
摘要：
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 performance of the method is illustrated by some numerical examples.
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页码：1050 / 1063
页数：13
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