Cauchy type singular integral equations with index zero naturally occur in the field of aerodynamics. Literature is very much developed for these equations and Chebyshevs polynomials are most frequently used to solve these integral equations. In this paper, a residual based Galerkins method has been proposed by using Legendre polynomial as basis functions to solve Cauchy singular integral equation of index zero. It converts the Cauchy singular integral equation into system of equations which can be easily solved. The test examples are given for illustration of proposed numerical method. Error bounds are derived as well as implemented in all the test examples.
Numerical method to solve Cauchy type singular integral equation with error bounds
ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences ; 2016 ; La Rochelle, France
AIP Conference Proceedings ; 1798 , 1
27.01.2017
8 pages
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
On Frequency Weighted Balanced Truncation: Hankel Singular Values and Error Bounds
British Library Online Contents | 2001
|A non-singular boundary integral equation for acoustic problems
Online Contents | 1996
|Integral representation of singular solutions to BVP for the wave equation
American Institute of Physics | 2014
|British Library Conference Proceedings | 2008
|