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Asymptotic Expansions for Approximate Solutions of Hammerstein Integral Equations with Green's Function Type Kernels

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Title Asymptotic Expansions for Approximate Solutions of Hammerstein Integral Equations with Green's Function Type Kernels
 
Creator KULKARNI, RP
RANI, AS
 
Subject Hammerstein equation
Green's function type kernels
Nystrom method
asymptotic expansion
 
Description We consider approximation of a nonlinear Hammerstein equation with a kernel of the type of Green's function using the Nystrom method based on the composite midpoint and the composite modified Simpson rules associated with a uniform partition. We obtain asymptotic expansions for the approximate solution u(n) at the node points as well as at the partition points and use Richardson extrapolation to obtain approximate solutions with higher orders of convergence. Numerical results are presented which confirm the theoretical orders of convergence.
 
Publisher VILNIUS GEDIMINAS TECH UNIV
 
Date 2014-12-28T14:48:22Z
2014-12-28T14:48:22Z
2014
 
Type Article
 
Identifier MATHEMATICAL MODELLING AND ANALYSIS, 19(1)127-143
1392-6292
1648-3510
http://dx.doi.org/10.3846/13926292.2014.893457
http://dspace.library.iitb.ac.in/jspui/handle/100/16793
 
Language English