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Special version of the collocation method for integral equations of the second kind with singularities in the kernel

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Publication:901891
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DOI10.1134/S001226611509013XzbMath1332.65190OpenAlexW1904498759MaRDI QIDQ901891

Z. Kh. Galimova, Nazim S. Gabbasov

Publication date: 6 January 2016

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s001226611509013x


zbMATH Keywords

collocation methoderror estimatelinear Fredholm integral equationstrong singularityHadamard finite part integral


Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Integral equations with kernels of Cauchy type (45E05)





Cites Work

  • A new version of the subdomain method for linear integral equations with fixed singularities in the kernel
  • New versions of spline methods for linear integral equations whose kernels have fixed singularities
  • A new version of the collocation method for a class of integral equations in the singular case
  • New modifications of the collocation method for a class of linear equations with a Hadamard integral
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