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Features of behavior of numerical methods for solving Volterra integral equations of the second kind

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Abstract

Systems of second-kind Volterra integral equations with stiff and oscillating components are considered. An implicit noniterative method of the second order is proposed for the numerical solution of such problems. The efficiency of the method is demonstrated using several examples.

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Authors and Affiliations

  1. Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia

    M. V. Bulatov

  2. East Siberian State Academy of Education, Nizhnyaya nab. 6, Irkutsk, 664011, Russia

    M. N. Machkhina

Authors
  1. M. V. Bulatov
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  2. M. N. Machkhina
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Correspondence to M. V. Bulatov.

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Original Russian Text © M.V. Bulatov, M.N. Machkhina, 2014, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2014, Vol. 54, No. 3, pp. 496–502.

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Bulatov, M.V., Machkhina, M.N. Features of behavior of numerical methods for solving Volterra integral equations of the second kind. Comput. Math. and Math. Phys. 54, 505–511 (2014). https://doi.org/10.1134/S0965542514030026

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  • DOI: https://doi.org/10.1134/S0965542514030026

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