Solution of singular integral equations with logarithmic and Cauchy kernels

  • A Chakrabarti
  • T Sahoo


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.


Water waves scattering Cauchy kernel logarithmic kernel 


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Copyright information

© Indian Academy of Sciences 1996

Authors and Affiliations

  • A Chakrabarti
    • 1
  • T Sahoo
    • 1
  1. 1.Department of MathematicsIndian Institute of ScienceBangaloreIndia

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