Approximate solution of singular integral equations with a Carleman shift and the complex-conjugate values of the unknown function

1981 ◽  
Vol 32 (3) ◽  
pp. 251-254
Author(s):  
V. D. Didenko
Keyword(s):  
Approximate Solution ◽  
Integral Equations ◽  
Singular Integral ◽  
Unknown Function ◽  
Singular Integral Equations ◽  
Complex Conjugate ◽  
Carleman Shift

On Projective Methods of Approximate Solution of Singular Integral Equations

1996 ◽  
Vol 3 (5) ◽  
pp. 457-474
Author(s):  
A. Jishkariani ◽  
G. Khvedelidze
Keyword(s):  
Approximate Solution ◽  
Rate Of Convergence ◽  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Collocation Methods ◽  
Projective Methods ◽  
Galerkin And Collocation Methods

Abstract The estimate for the rate of convergence of approximate projective methods with one iteration is established for one class of singular integral equations. The Bubnov–Galerkin and collocation methods are investigated.

scholarly journals On the approximate solution of nonlinear singular integral equations with positive index

1996 ◽  
Vol 19 (2) ◽  
pp. 389-396 ◽  
Author(s):  
S. M. Amer
Keyword(s):  
Approximate Solution ◽  
Integral Equations ◽  
Collocation Method ◽  
Jordan Curve ◽  
Singular Integral ◽  
Sufficient Conditions ◽  
Singular Integral Equations ◽  
Holder Space ◽  
Smooth Jordan Curve ◽  
Positive Index

This paper is devoted to investigating a class of nonlinear singular integral equations with a positive index on a simple closed smooth Jordan curve by the collocation method. Sufficient conditions are given for the convergence of this method in Holder space.

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