Modified projection method for Urysohn integral equations with non-smooth kernels

DOI10.1016/j.cam.2015.08.020zbMath1327.65280OpenAlexW1761753784MaRDI QIDQ893133

Laurence Grammont, T. J. Nidhin, Rekha P. Kulkarni

Publication date: 13 November 2015

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.2015.08.020

zbMATH Keywords

convergencecollocation methodGalerkin methodprojection methodnumerical resultUrysohn integral operatorGreen's function type kernel

Mathematics Subject Classification ID

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

Related Items

Modified Galerkin method for Volterra-Fredholm-Hammerstein integral equations, Spectral approximation methods for nonlinear integral equations with non-smooth kernels, Spline quasi-interpolating projectors for the solution of nonlinear integral equations, Spectral Methods For Hammerstein Integral Equations with Nonsmooth Kernels, FAST DISCRETE SOLVERS FOR NONLINEAR HAMMERSTIEN EQUATIONS, Approximation of weakly singular integral equations by sinc projection methods, Numerical solutions of weakly singular Hammerstein integral equations, FRACTIONAL HERMITE DEGENERATE KERNEL METHOD FOR LINEAR FREDHOLM INTEGRAL EQUATIONS INVOLVING ENDPOINT WEAK SINGULARITIES, DISCRETE MODIFIED PROJECTION METHODS FOR URYSOHN INTEGRAL EQUATIONS WITH GREEN’S FUNCTION TYPE KERNELS

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