The expansion approach for solving cauchy integral equation of the first kind
In this paper we expand the kernel of Cauchy integral equation of first kind as a series of Chebyshev polynomials of the second kind times some unknown functions. These unknown functions are determined by applying the orthogonality of the Chebyshev polynomial. Whereas the unknown function in the in...
Main Authors: | Yaghobifar, Mohammad, Nik Long, Nik Mohd Asri, Eshkuratov, Zainidin K. |
---|---|
Format: | Article |
Language: | English English |
Published: |
Hikari Ltd
2010
|
Subjects: | |
Online Access: | http://psasir.upm.edu.my/id/eprint/17160/1/The%20expansion%20approach%20for%20solving%20cauchy%20integral%20equation%20of%20the%20first%20kind.pdf |
Similar Items
-
Automatic Quadrature Scheme For Evaluating Singular Integral With Cauchy Kernel Using Chebyshev Polynomials
by: Jamaludin, Nur Amalina
Published: (2010) -
Semi-bounded solutions of singular integral equations of Cauchy type
by: Nik Long, Nik Mohd Asri, et al.
Published: (2009) -
Numerical Evaluation of Cauchy Type Singular Integrals Using Modification of Discrete Vortex Method
by: Mahiub, Mohammad Abdulkawi
Published: (2007) -
Numerical Solutions Of Cauchy Type Singular Integral Equations Of The First Kind Using Polynomial Approximations
by: Mahiub, Mohammad Abdulkawi
Published: (2010) -
Quadrature formula for approximating the singular integral of Cauchy type with unbounded weight function on the edges.
by: Eshkuratov, Zainidin K., et al.
Published: (2009)