On a method for solving a two-dimensional nonlinear integral equation of the second kind

DOI10.1016/j.cam.2011.02.016zbMath1221.65325OpenAlexW2117967613MaRDI QIDQ534242

Yong-Cai Geng, Sumit K. Garg

Publication date: 17 May 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.02.016

zbMATH Keywords

numerical examplesnonlinear algebraic systemHammerstein typedegenerate methodNonlinear integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

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Uses Software

• Maple

Cites Work

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• A family of methods for Abel integral equations of the second kind
• Fast Runge-Kutta methods for nonlinear convolution systems of Volterra integral equations
• On solution of nonlinear Abel-Volterra integral equation
• A survey of singularly perturbed Volterra equations
• Extrapolation method of iterated collocation solution for two-dimensional nonlinear Volterra integral equations
• A solution of a nonlinear integral equation
• On a method for solving an integral equation in the displacement contact problem.
• Toeplitz matrix method and nonlinear integral equation of Hammerstein type
• Diffusion in a Semi-Infinite Region with Nonlinear Surface Dissipation
• Integrable solutions of hammerstein
• The Numerical Solution of Integral Equations of the Second Kind
• Product integration for Volterra integral equations of the second kind with weakly singular kernels
• Extrapolation of Nyström solution for two dimensional nonlinear Fredholm integral equations

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