Discrepancy Principle for Solving Periodic Integral Equations of the First Kind

Автор(и)

  • Evgeniya Semenova Institute of Mathematics of NAS of Ukraine, Україна
  • Evgenii Volynets Institute of Mathematics of NAS of Ukraine, Україна

DOI:

https://doi.org/10.32626/2308-5878.2017-15.175-180

Анотація

Fully discrete projection method with discrepancy principle is considered for solving periodic integral equations of the first kind with unknown smoothness of solution. For proposed approach it is proved the optimality and effectiveness in the sense of computational resource

Посилання

Saranen J., Vainikko G. Periodic Integral and Pseudodifferential Equations with Numerical Approximation. Berlin: Springer, 2002. 452 p.

Pereverzev S. V., Prossdorf S. On the characterization of self-regularization properties of a fully discrete projection method for Symm's integral equation. J. Integral Equations Appl. 2000. V. 12, N 2. P. 113–130.

Solodky S. G., Semenova E. V. A class of periodic integral equation with nu-merical solving by a fully discrete projection method. UMV. 2014. V. 11, N 3, P. 400–416.

##submission.downloads##

Опубліковано

2017-03-06