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

DOI10.3846/13926292.2014.893457zbMath1499.65752OpenAlexW2018579254MaRDI QIDQ5011172

Akshay S. Rane, Rekha P. Kulkarni

Publication date: 27 August 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2014.893457

zbMATH Keywords

asymptotic expansionHammerstein equationNyström methodGreen's function type kernels

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20)

Related Items

Richardson extrapolation for the iterated Galerkin solution of Urysohn integral equations with Green's kernels ⋮ FAST DISCRETE SOLVERS FOR NONLINEAR HAMMERSTIEN EQUATIONS ⋮ Richardson Extrapolation of Superconvergent Projection-Type Methods for Hammerstein Equations* ⋮ Numerical solutions of weakly singular Hammerstein integral equations

Cites Work

• Integral operators with Green's function type kernel
• Asymptotic expansions for approximate solutions of Fredholm integral equations with Green's function type kernels
• Algorithm 876
• The Numerical Solution of Integral Equations of the Second Kind
• Asymptotic Error Expansions for Numerical Solutions of Integral Equations
• Improving the accuracy of quadrature method solutions of Fredholm integral equations that arise from nonlinear two-point boundary value problems
• Asymptotic error analysis of a quadrature method for integral equations with Green's function kernels
• Unnamed Item