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ASYMPTOTIC EXPANSIONS FOR APPROXIMATE SOLUTIONS OF FREDHOLM INTEGRAL EQUATIONS WITH GREEN'S FUNCTION TYPE KERNELS

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Title ASYMPTOTIC EXPANSIONS FOR APPROXIMATE SOLUTIONS OF FREDHOLM INTEGRAL EQUATIONS WITH GREEN'S FUNCTION TYPE KERNELS
 
Creator KULKARNI, RP
RANE, AS
 
Subject Fredholm integral equation
Green's function type kernels
Nystrom method
iterated collocation method
asymptotic expansion
EXTRAPOLATION
 
Description Asymptotic expansions at the node points for approximate solutions of the second kind Fredholm integral equation with a kernel of Green's type function are obtained in the Nystrom method based on the composite midpoint, the composite Simpson and the composite modified Simpson rules. Similar expansions are also obtained for the interated colocation method associated with piecewise constant, piecewise linear and piecewise quadratic functions. Richardson extrapolation is used to obtain approximate solutions with higher order of convergence at the node/partition points. Numerical examples are give to illustrate various results.
 
Publisher ROCKY MT MATH CONSORTIUM
 
Date 2014-10-16T05:55:08Z
2014-10-16T05:55:08Z
2012
 
Type Article
 
Identifier JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 24(1)39-79
http://dx.doi.org/10.1216/JIE-2012-24-1-39
http://dspace.library.iitb.ac.in/jspui/handle/100/15390
 
Language en