ASYMPTOTIC EXPANSIONS FOR APPROXIMATE SOLUTIONS OF FREDHOLM INTEGRAL EQUATIONS WITH GREEN'S FUNCTION TYPE KERNELS
DSpace at IIT Bombay
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Title |
ASYMPTOTIC EXPANSIONS FOR APPROXIMATE SOLUTIONS OF FREDHOLM INTEGRAL EQUATIONS WITH GREEN'S FUNCTION TYPE KERNELS
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Creator |
KULKARNI, RP
RANE, AS |
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Subject |
Fredholm integral equation
Green's function type kernels Nystrom method iterated collocation method asymptotic expansion EXTRAPOLATION |
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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.
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Publisher |
ROCKY MT MATH CONSORTIUM
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Date |
2014-10-16T05:55:08Z
2014-10-16T05:55:08Z 2012 |
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Type |
Article
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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 |
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Language |
en
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