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

被引:0
作者
M. V. Bulatov
M. N. Machkhina
机构
[1] Russian Academy of Sciences,Institute of System Dynamics and Control Theory, Siberian Branch
[2] East Siberian State Academy of Education,undefined
来源
Computational Mathematics and Mathematical Physics | 2014年 / 54卷
关键词
Volterra integral equations of the second kind; stiff problems; difference schemes; quadrature formulas;
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中图分类号
学科分类号
摘要
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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页码:505 / 511
页数:6
相关论文
共 4 条
  • [1] Bulatov M V(2008)On the construction of nonclassical finite-difference schemes for ordinary differential equations Differ. Equations 44 567-579
  • [2] Bulatov M V(2011)A class of one-step one-stage methods for stiff systems of ordinary differential equations Comput. Math. Math. Phys. 51 1167-1180
  • [3] Tygliyan A V(undefined)undefined undefined undefined undefined-undefined
  • [4] Filippov S S(undefined)undefined undefined undefined undefined-undefined