Numerical Evaluation of Cauchy Type Singular Integrals Using Modification of Discrete Vortex Method

QR Code

Numerical Evaluation of Cauchy Type Singular Integrals Using Modification of Discrete Vortex Method

In this thesis, characteristic singular integral equations of Cauchy type ()(),LtdtfxxLxtϕ=∈−∫ (1) where L is open or closed contour, are examined. The analytical solutions for equation (1) are described. Some examples of solution for certain functions f (x) are given. A quadrature formula for e...

Full description

Bibliographic Details
Main Author:	Mahiub, Mohammad Abdulkawi
Format:	Thesis
Language:	English English
Published:	2007
Subjects:	Cauchy integrals Numerical analysis
Online Access:	http://psasir.upm.edu.my/id/eprint/5021/ http://psasir.upm.edu.my/id/eprint/5021/1/FS_2007_30.pdf

Similar Items

Automatic Quadrature Scheme For Evaluating Singular Integral With Cauchy Kernel Using Chebyshev Polynomials
by: Jamaludin, Nur Amalina
Published: (2010)

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)

The expansion approach for solving cauchy integral equation of the first kind
by: Yaghobifar, Mohammad, et al.
Published: (2010)

Semi-bounded solutions of singular integral equations of Cauchy type
by: Nik Long, Nik Mohd Asri, et al.
Published: (2009)

Numerical evaluation for Cauchy type singular integrals using modification of discrete vortex method and spline approximation
by: Eshkuvatov, Zainiddin K., et al.
Published: (2007)

Numerical evaluation for Cauchy type singular integrals on the interval.
by: Eshkuvatov, Zainiddin K., et al.
Published: (2010)

A note on the numerical solution of singular integral equations of Cauchy type
by: Mahiub, Mohammad Abdulkawi, et al.
Published: (2009)

Half-bounded numerical solution of singular integral equations with Cauchy kernel.
by: Mahiub, Mohammad Abdulkawi, et al.
Published: (2011)

On the semi-bounded solution of cauchy type singular integral equations of the first kind.
by: Mahiub, Mohammad Abdulkawi, et al.
Published: (2009)

Numerical solutions of hypersingular integrals and integral equations of the first kind
by: Obaiys, Suzan Jabbar
Published: (2013)

Numerical solution of integrals and nonlinear integral equations by wavelets
by: Abdul Sathar, Mohammad Hasan
Published: (2016)

Approximate solution of singular integral equations of the first kind with Cauchy kernel
by: Eshkuratov, Zainidin K., et al.
Published: (2009)

Remarks on the numerical solution of singular integral equations
by: Mahiub, Mohammad Abdulkawi, et al.
Published: (2009)

On the accurate numerical evaluation of geodetic convolution integrals
by: Hirt, Christian, et al.
Published: (2011)

Approximating Cauchy-type singular integral by an automatic quadrature scheme.
by: Eshkuratov, Zainidin K., et al.
Published: (2011)

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 for Fredholm integral equation of the second kind with Cauchy kernel.
by: Mahiub, Mohammad Abdulkawi, et al.
Published: (2011)

Numerical solution of FIE of the second kind with cauchy kernel
by: Eshkuvatov, Zainidin K., et al.
Published: (2011)

A quadrature formula for the approximation of Cauchy type singular integrals on the interval
by: Eshkuvatov, Zainidin K., et al.
Published: (2007)

Direct block backward differentiation formulas for solving second order stiff boundary value problem
by: Chew, Soon Yuen
Published: (2016)

Integral Solution to the Equation x2+2a.7b=yn
by: Yow, Kai Siong
Published: (2011)

The well-posedness and solutions of Boussinesq-type equations
by: Lin, Qun
Published: (2009)

Approximate solution for the Cauchy type singular integral equation using ODE approaches
by: Yaghobifar, Mohammad, et al.
Published: (2010)

Numerical performance evaluation of plain fin tube heat exchanger under frosty conditions
by: Hussein, Amar Ali
Published: (2010)

On the Modifications of a Broyden's Single Parameter Rank-Two Quasi-Newton Method for Unconstrained Minimization
by: Leong, Wah June
Published: (1999)

Numerical methods for solving oscillatory and fuzzy differential equations
by: Dizicheh, Ali Karimi
Published: (2014)

Adam’s type block methods for solving neutral delay differential equation with constant and panthograph delay
by: Ismail, Nur Inshirah Naqiah
Published: (2019)

Numerical method for inverse laplace transform with Haar wavelet operational matrix
by: Mt Aznam, Suazlan, et al.
Published: (2012)

Existences and uniqueness of solutions for some classes of iterative fractional functional integral and differential equations
by: Damag, Faten Hasan Mohammed
Published: (2017)

Phase-fitted and amplification-fitted Runge-Kutta type methods for solving linear differential equations with oscillatory solutions
by: Salih, Mohammed Mahmood
Published: (2016)

Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2018)

Comparing numerical methods for solving Chaotic and Stiff Initial Value Problems (IVPs)
by: Chowdhury, Md. Sazzad Hossien
Published: (2018)

Introduction to nonlinear discrete systems: theory and modelling
by: Tsoy, Eduard N., et al.
Published: (2018)

Numerical solution of special second order initial value problems by hybrid type methods
by: Dauda Yusuf Jikantoro,
Published: (2014)

Hypersingular integral equations for triple Griffith cracks problems in an elastic half-plane
by: Husin, Nur Hazirah
Published: (2020)

A numerical time integration mrthod for nonlinear seismic response analysis of roller-compacted concrete dams
by: Pour, Parviz Moradi
Published: (2010)

Numerical analysis of frequency and electrical response in piezoelectric-covered components for energy harvesting
by: Lori, Erfan Shamsaddini
Published: (2020)

Coupled block method for solving ordinary and delay differential equations
by: Hue, Chi San
Published: (2011)

Hybrid methods for solving higher order ordinary differential equations
by: Jikantoro, Yusuf Dauda
Published: (2018)