On implicitly linear and iterated collocation methods for Hammerstein integral equations

DOI10.1216/jiea/1181075645zbMath0749.65090OpenAlexW2036531816MaRDI QIDQ1184922

Hermann Brunner

Publication date: 28 June 1992

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075645

zbMATH Keywords

Hammerstein integral equationsspline collocation methodsnonlinear Volterra-Fredholm integral equationsiterated collocation methodimplicitly linear collocation method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (12)

Superconvergence of piecewise polynomial collocations for nonlinear weakly singular integral equations ⋮ Unnamed Item ⋮ Implicitly linear collocation methods for nonlinear Volterra equations ⋮ Numerical solution of nonlinear integral equations using alternative Legendre polynomials ⋮ Analytical and computational methods for a class of nonlinear singular integral equations ⋮ Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel ⋮ Superconvergent Nyström method for Urysohn integral equations ⋮ Superconvergent Nyström and degenerate kernel methods for Hammerstein integral equations ⋮ Superconvergent product integration method for Hammerstein integral equations ⋮ A hybrid collocation method for fractional initial value problems ⋮ Integral equation formulation and error estimates for radial flow between two flat disks ⋮ Superconvergence of interpolated collocation solutions for Hammerstein equations

Cites Work

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• Discrete numerical solvability of Hammerstein integral equations of mixed type
• On the Numerical Solution of Nonlinear Volterra–Fredholm Integral Equations by Collocation Methods
• The Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Collocation and Iterated Collocation Methods
• Superconvergence of a Collocation-type Method for Hummerstein Equations
• A Discrete Collocation-Type Method for Hammerstein Equations
• Projection and Iterated Projection Methods for Nonlinear Integral equations
• A New Collocation-Type Method for Hammerstein Integral Equations

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