Journal ArticleDOI
An iterative algorithm for the numerical solution of singular integral equations
TLDR
In this paper, an iterative method for the numerical solution of singular integral equations of the first kind with Cauchy-type kernels is proposed, based on the Gauss- and Lobatto-Chebyshev quadrature rules.About:
This article is published in Journal of Computational Physics.The article was published on 1981-09-01. It has received 14 citations till now. The article focuses on the topics: Singular integral & Nyström method.read more
Citations
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Book ChapterDOI
Introduction to the Numerical Solution of Cauchy Singular Integral Equations
TL;DR: A survey of polynomial-based projection and quadrature methods for the numerical solution of Cauchy singular integral equations with constant coefficients on (−1, 1) is given in this article.
Journal ArticleDOI
Application of computer algebra to the iterative solution of singular integral equations
TL;DR: The use of computer algebra systems in the approximate iterative solution of Cauchy-type singular integral equations (SIEs), appearing in crack problems of plane elasticity and in many additional branches of applied mechanics and engineering, is proposed in this article.
Efficient iterative solution of linear systems from discretizing singular integral equations
TL;DR: In this article, the authors study the solution of singular integral equations by iterative methods and show that discretization of the singular integral operators obtained by domain splitting yields a system of algebraic equations that has a structure suitable for iterative solution.
Journal ArticleDOI
On the numerical solution of Cauchy singular integral equations in neutron transport
N. Mohankumar,A. Natarajan +1 more
TL;DR: In this article, a solution prescription that combines a polynomial expansion for the unknown, a collocation procedure for fixing the expansion coefficients and a Double Exponential quadrature for the Cauchy principal value integral is presented.
Journal ArticleDOI
The successive approximations method for the airfoil equation
TL;DR: In this paper, the successive approximation (or Neumann iterations) method for the solution of Fredholm integral equations of the second kind is applied here for the first time, after an appropriate modification, to a Cauchy-type singular integral equation of the first kind, the airfoil equation.
References
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Journal ArticleDOI
On the numerical solution of singular integral equations
Fazil Erdogan,G. D. Gupta +1 more
TL;DR: In this paper, a pair of Gauss-Chebyshev integration formulas for singular integrals are developed and a simple numerical method for solving a system of singular integral equations is described.