Journal of Advanced Mathematical Modeling

Journal of Advanced Mathematical Modeling

Investigation of a new method for the numerical solution of a system of hypersingular integral equations

Document Type : Original Paper

Author
Department of Mathematics, Faculty of Applied Mathematics, K. N. Toosi University of Technology, Tehran, Iran
Abstract
The system of hypersingular integral equations occurs naturally in several branches of science

and engineering during the formulation of many boundary value problems. The analytical solution for the

system of dominant equations is known. However, many real-world problems, such as cracking problems

in fracture mechanics, may not be formulated as a set of dominant equations. Therefore, we propose a

numerical method to find an approximate solution for such a generalized form. The convergence of the

proposed method is proved. This convergence helps to derive the error bound for the error between the

exact and the approximate solution. Finally, by providing a numerical example, the efficiency of this

method will be presented.
Keywords
Subjects

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Volume 12, Issue 3
Autumn 2022
Pages 448-461

  • Receive Date 22 May 2022
  • Revise Date 30 October 2022
  • Accept Date 08 November 2022