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/ 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)
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)
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)
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)
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)
by: Nik Long, Nik Mohd Asri, et al.
Published: (2009)
Half-bounded numerical solution of singular integral equations with Cauchy kernel.
by: Mahiub, Mohammad Abdulkawi, et al.
Published: (2011)
by: Mahiub, Mohammad Abdulkawi, et al.
Published: (2011)
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)
by: Eshkuratov, Zainidin K., et al.
Published: (2009)
A quadrature formula for the approximation of Cauchy type singular integrals on the interval
by: Eshkuvatov, Zainidin K., et al.
Published: (2007)
by: Eshkuvatov, Zainidin K., et al.
Published: (2007)
On the semi-bounded solution of cauchy type singular integral equations of the first kind.
by: Mahiub, Mohammad Abdulkawi, et al.
Published: (2009)
by: Mahiub, Mohammad Abdulkawi, et al.
Published: (2009)
The expansion approach for solving cauchy integral equation of the first kind
by: Yaghobifar, Mohammad, et al.
Published: (2010)
by: Yaghobifar, Mohammad, et al.
Published: (2010)
Analytical-approximate solution of Abel integral equations
by: Yaghobifar, Mohammad, et al.
Published: (2011)
by: Yaghobifar, Mohammad, et al.
Published: (2011)
Analytical solutions of characteristic singular integral equations in the class of rational functions
by: Yaghobifar, Mohammad, et al.
Published: (2010)
by: Yaghobifar, Mohammad, et al.
Published: (2010)
Numerical Solutions Of Cauchy Type Singular Integral Equations Of The First Kind Using Polynomial Approximations
by: Mahiub, Mohammad Abdulkawi
Published: (2010)
by: Mahiub, Mohammad Abdulkawi
Published: (2010)
Numerical evaluation for Cauchy type singular integrals using modification of discrete vortex method and spline approximation
by: Eshkuvatov, Zainiddin K., et al.
Published: (2007)
by: Eshkuvatov, Zainiddin K., et al.
Published: (2007)
A note on the numerical solution for Fredholm integral equation of the second kind with Cauchy kernel.
by: Mahiub, Mohammad Abdulkawi, et al.
Published: (2011)
by: Mahiub, Mohammad Abdulkawi, et al.
Published: (2011)
Numerical evaluation for Cauchy type singular integrals on the interval.
by: Eshkuvatov, Zainiddin K., et al.
Published: (2010)
by: Eshkuvatov, Zainiddin K., et al.
Published: (2010)
Remarks on the numerical solution of singular integral equations
by: Mahiub, Mohammad Abdulkawi, et al.
Published: (2009)
by: Mahiub, Mohammad Abdulkawi, et al.
Published: (2009)
Approximate solution of the system of nonlinear integral equation by Newton–Kantorovich method
by: Eshkuratov, Zainidin K., et al.
Published: (2010)
by: Eshkuratov, Zainidin K., et al.
Published: (2010)
Quadrature formulafor the complete solution of characteristic singular integral equation on the interval
by: Eshkuvatov, Zainidin K., et al.
Published: (2009)
by: Eshkuvatov, Zainidin K., et al.
Published: (2009)
Approximate solution of a nonlinear system of integral equations using modified Newton-Kantorovich method
by: Eshkuratov, Zainidin K., et al.
Published: (2010)
by: Eshkuratov, Zainidin K., et al.
Published: (2010)
Approximate solution of nonlinear system of integral equations
by: Eshkuvatov, Zainidin K., et al.
Published: (2010)
by: Eshkuvatov, Zainidin K., et al.
Published: (2010)
Analytical approximate solution of Carleman's equation by using Maclaurin series
by: Yaghobifar, Mohammad, et al.
Published: (2010)
by: Yaghobifar, Mohammad, et al.
Published: (2010)
Numerical solution of infinite boundary integral equation by using Galerkin method with Laguerre polynomials.
by: Nik Long, Nik Mohd Asri, et al.
Published: (2008)
by: Nik Long, Nik Mohd Asri, et al.
Published: (2008)
Numerical solution of hypersingular integral equations.
by: Nik Long, Nik Mohd Asri, et al.
Published: (2011)
by: Nik Long, Nik Mohd Asri, et al.
Published: (2011)
Singular Integral Equation for Curved Cracks
by: Nik Long, Nik Mohd Asri, et al.
Published: (2008)
by: Nik Long, Nik Mohd Asri, et al.
Published: (2008)
Numerical solution of FIE of the second kind with cauchy kernel
by: Eshkuvatov, Zainidin K., et al.
Published: (2011)
by: Eshkuvatov, Zainidin K., et al.
Published: (2011)
An approximate solution of two dimensional nonlinear Volterra integral equation using Newton-Kantorovich method
by: Hameed, Hameed Husam, et al.
Published: (2016)
by: Hameed, Hameed Husam, et al.
Published: (2016)
Hypersingular integral equation for multiple curved cracks problem in plane elasticity.
by: Nik Long, Nik Mohd Asri, et al.
Published: (2009)
by: Nik Long, Nik Mohd Asri, et al.
Published: (2009)
A new system of singular integral equations for a curvilinear crack in bonded materials
by: Hamzah, Khairum, et al.
Published: (2021)
by: Hamzah, Khairum, et al.
Published: (2021)
Numerical Evaluation of Cauchy Type Singular Integrals Using Modification of Discrete Vortex Method
by: Mahiub, Mohammad Abdulkawi
Published: (2007)
by: Mahiub, Mohammad Abdulkawi
Published: (2007)
An improved diagonal Jacobian approximation via a new quasi-Cauchy condition for solving large-scale systems of nonlinear equations
by: Waziri, Mohammed Yusuf, et al.
Published: (2013)
by: Waziri, Mohammed Yusuf, et al.
Published: (2013)
On the solution of multi-dimensional nonlinear integral equation with modified newton method
by: Hameed, Hameed Husam, et al.
Published: (2017)
by: Hameed, Hameed Husam, et al.
Published: (2017)
Singular integral equation for an edge crack originates at the interface of two bonded half-planes
by: Husin, Nur Hazirah, et al.
Published: (2024)
by: Husin, Nur Hazirah, et al.
Published: (2024)
Construction of cubature formula for double integration with algebraic singularity by spline polynomial
by: Bichi, Sirajo Lawan, et al.
Published: (2015)
by: Bichi, Sirajo Lawan, et al.
Published: (2015)
Stress analysis in a half plane elasticity.
by: Nik Long, Nik Mohd Asri, et al.
Published: (2011)
by: Nik Long, Nik Mohd Asri, et al.
Published: (2011)
Stress analysis in a half plane elasticity.
by: Nik Long, Nik Mohd Asri, et al.
Published: (2011)
by: Nik Long, Nik Mohd Asri, et al.
Published: (2011)
General 2 × 2 system of nonlinear integral equations and its approximate solution
by: Eshkuvatov, Z. K., et al.
Published: (2019)
by: Eshkuvatov, Z. K., et al.
Published: (2019)
On error estimation of automatic quadrature scheme for the evaluation of Hadamard integral of second order singularity.
by: Obaiys, Suzan J., et al.
Published: (2013)
by: Obaiys, Suzan J., et al.
Published: (2013)
An accurate spline polynomial cubature formula for double integration with logarithmic singularity
by: Bichi, Sirajo Lawan, et al.
Published: (2016)
by: Bichi, Sirajo Lawan, et al.
Published: (2016)
Semi bounded solution of hypersingular integral equations of the first kind on the rectangle
by: Eshkuvatov, Zainidin K., et al.
Published: (2020)
by: Eshkuvatov, Zainidin K., et al.
Published: (2020)
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)