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Ukrainian Mathematical Journal

, Volume 47, Issue 4, pp 578–587 | Cite as

On the rate of convergence of projection-iterative methods for classes of weakly singular integral equations

  • S. V. Pereverzev
  • M. Askarov
Article

Abstract

For classes of weakly singular integral equations of the second kind whose kernels have a power singularity, we find the optimal order of the rate of convergence of projection-iterative methods. Moreover, iterative methods of the Sokolov type are considered and, for weakly singular equations with differentiable coefficients, we present estimates of the rate of convergence of such methods.

Keywords

Integral Equation Iterative Method Singular Integral Equation Optimal Order Power Singularity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • S. V. Pereverzev
    • 1
  • M. Askarov
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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