Approximate solution for the Cauchy type singular integral equation using ODE approaches
The unknown function in the Cauchy type singular integral equation is expanded using Taylor expansion at the singular point t = x. Each term in the equation is then integrated yielding a linear ordinary differential equation. It is shown that the obtained linear ODE is uniformly convergent to the Ca...
Main Authors: | Yaghobifar, Mohammad, Nik Long, Nik Mohd Asri, Eshkuratov, Zainidin K., Abdul Majid, Zanariah |
---|---|
Format: | Article |
Language: | English |
Published: |
Centre for Environment, Social and Economic Research Publications
2010
|
Online Access: | http://psasir.upm.edu.my/id/eprint/13252/1/Approximate%20solution%20for%20the%20Cauchy%20type%20singular%20integral%20equation%20using%20ODE%20approaches.pdf |
Similar Items
-
Approximate solution of singular integral equations of the first kind with Cauchy kernel
by: Eshkuratov, Zainidin K., et al.
Published: (2009) -
Approximating the singular integrals of Cauchy type with weight function on the interval.
by: Eshkuratov, Zainidin K., et al.
Published: (2011) -
A note on the numerical solution of singular integral equations of Cauchy type
by: Mahiub, Mohammad Abdulkawi, et al.
Published: (2009) -
Approximating Cauchy-type singular integral by an automatic quadrature scheme.
by: Eshkuratov, Zainidin K., et al.
Published: (2011) -
Semi-bounded solutions of singular integral equations of Cauchy type
by: Nik Long, Nik Mohd Asri, et al.
Published: (2009)