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Approximate solution of singular integro- differential equations in generalized Hölder spaces

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Abstract

We have elaborated the numerical schemes of collocation methods and mechanical quadrature methods for approximate solution of singular integro- differential equations with kernels of Cauchy type. The equations are defined on the arbitrary smooth closed contours of complex plane. The researched methods are based on Fejér points. Theoretical background of collocation methods and mechanical quadrature methods has been obtained in Generalized Hölder spaces.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Moldova State University, Moldova, Moldova

    Iurie Nicolae Caraus

  2. Department of Mathematics, AlAhssa Teachers College, Saudi Arabia, Kingdom of Saudi Arabia

    Feras M. Al Faqih

Authors
  1. Iurie Nicolae Caraus
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  2. Feras M. Al Faqih
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Correspondence to Iurie Nicolae Caraus.

Additional information

The research of I. N. Caraus was supported by Central European University (CEU) Special and Extension Programs.

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Caraus, I.N., Al Faqih, F.M. Approximate solution of singular integro- differential equations in generalized Hölder spaces. Numer Algor 45, 205–215 (2007). https://doi.org/10.1007/s11075-007-9079-1

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