Solving two-dimensional integral equations of the second kind on non-rectangular domains with error estimate

  • Kourosh ParandEmail author
  • Hafez Yari
  • Mehdi Delkhosh
Original Article


In this paper, the collocation method is applied on two-dimensional integral equations of the second kind on non-rectangular domains. Since the domains of these equations are non-rectangular and so directly applying the collocation method for them is difficult, at first, the integral equations are converted to equivalent integral equations on rectangular domains. Then, two-dimensional Jacobi collocation method is applied. Furthermore, an error estimate for the method is investigated and several examples demonstrate the accuracy and efficiency of the method.


2D integral equations Non-rectangular domains Collocation method Jacobi polynomials 



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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Computer SciencesShahid Beheshti UniversityTehranIran
  2. 2.Department of Cognitive Modelling, Institute for Cognitive and Brain SciencesShahid Beheshti UniversityTehranIran
  3. 3.Department of Mathematics and Computer SciencesIslamic Azad University, Bardaskan BranchBardaskanIran

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