Improving the accuracy of quadrature method solutions of Fredholm integral equations that arise from nonlinear two-point boundary value problems
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Publication:5939733
DOI10.1216/jiea/1181074263zbMath0974.65123OpenAlexW2009185941MaRDI QIDQ5939733
Publication date: 30 July 2001
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: http://math.la.asu.edu/~rmmc/jie/VOL11-1/CONT11-1/CONT11-1.html
convergencenumerical examplesEuler-Maclaurin expansionnonlinear Fredholm integral equationsnonlinear two-point boundary value problemsquadrature method
Related Items (6)
Asymptotic expansions for approximate solutions of Fredholm integral equations with Green's function type kernels ⋮ Asymptotic error analysis of a quadrature method for integral equations with Green's function kernels ⋮ An algorithm for solving Fredholm integro-differential equations ⋮ Singular non-linear two-point boundary value problems: existence and uniqueness ⋮ Efficient computation of oscillatory integrals via adaptive multiscale local Fourier bases ⋮ ASYMPTOTIC EXPANSIONS FOR APPROXIMATE SOLUTIONS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH GREEN'S FUNCTION TYPE KERNELS
Cites Work
- Constructive existence and uniqueness for some nonlinear two-point boundary value problems
- Constructive existence and uniqueness for two-point boundary-value problems with a linear gradient term
- Quadrature methods for periodic singular and weakly singular Fredholm integral equations
- Efficient implementation of minimal polynomial and reduced rank extrapolation methods
- Extrapolation Methods for Vector Sequences
- Improving Convergence Rate in the Method of Successive Approximations
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