• Solution of singular integral equations with logarithmic and Cauchy kernels

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      https://www.ias.ac.in/article/fulltext/pmsc/106/03/0261-0270

    • Keywords

       

      Water waves; scattering; Cauchy kernel; logarithmic kernel

    • Abstract

       

      A direct method of solution is presented for singular integral equations of the first kind, involving the combination of a logarithmic and a Cauchy type singularity. Two typical cases are considered, in one of which the range of integration is a single finite interval and, in the other, the range of integration is a union of disjoint finite intervals. More such general equations associated with a finite number (greater than two) of finite, disjoint, intervals can also be handled by the technique employed here.

    • Author Affiliations

       

      A Chakrabarti1 T Sahoo1

      1. Department of Mathematics, Indian Institute of Science, Bangalore - 560 012, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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