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On the convergence of numerical methods for solving a Volterra bilinear equations of the first kind |
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| Authors: | A. S. Apartsin |
| Affiliation: | (1) Institute of Power Engineering, Melent’ev Energy System Institute, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 130, Irkutsk, 664033, Russia |
| Abstract: | A justification is given for the convergence of quadratures (namely, the right rectangle and midpoint rules) for the numerical solution of a Volterra bilinear equation of the first kind. Numerical results for some benchmark problems are presented. |
| Keywords: | Volterra bilinear integral equation of the first kind right rectangle rule midpoint rule convergence Lambert function self-regularization |
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