Numerical solution of Urysohn integral equations using the iterated collocation method

DOI10.1080/00207160701411145zbMath1152.65120OpenAlexW2155678956MaRDI QIDQ5438701

H. Derili, Saeed Sohrabi, Khosrow Maleknejad

Publication date: 28 January 2008

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701411145

zbMATH Keywords

superconvergenceIterated collocation methodUrysohn equations, non-linear integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (3)

Numerical analysis of a collocation method for functional integral equations ⋮ A novel iterative solution for time-fractional Boussinesq equation by reproducing kernel method ⋮ Remarks on the generalized interpolative contractions and some fixed-point theorems with application

Cites Work

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• Collocation methods using piecewise polynomials for second kind integral equations
• Numerical solutions for weakly singular Hammerstein equations and their superconvergence
• Error analysis for a class of degenerate kernel methods
• Superconvergence of the iterated collocation methods for Hammerstein equations
• The collocation method for Hammerstein equations by Daubechies wavelets
• Iterated Galerkin versus Iterated Collocation for Integral Equations of the Second Kind
• Computational Methods for Integral Equations
• Projection and Iterated Projection Methods for Nonlinear Integral equations
• Superconvergence of the Iterated Galerkin Methods for Hammerstein Equations

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