Nyström type methods for Fredholm integral equations with weak singularities

DOI10.1016/j.cam.2010.01.033zbMath1193.65226OpenAlexW2067046832MaRDI QIDQ977403

Arvet Pedas, Kerli Orav-Puurand, Gennadi Vainikko

Publication date: 22 June 2010

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.2010.01.033

zbMATH Keywords

global convergencenumerical resultsproduct integrationFredholm integral equations of the second kindweakly singular integral equationsmoothing transformationNyström type method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fredholm integral equations (45B05)

Related Items (17)

Terminal value problems for the nonlinear systems of fractional differential equations ⋮ A solvability of a problem for a Fredholm integro-differential equation with weakly singular kernel ⋮ Jacobi collocation method and smoothing transformation for numerical solution of neutral nonlinear weakly singular Fredholm integro-differential equations ⋮ Applying the modified block-pulse functions to solve the three-dimensional Volterra-Fredholm integral equations ⋮ Two-dimensional triangular functions and their applications to nonlinear 2D Volterra-Fredholm integral equations ⋮ A meshless discrete Galerkin (MDG) method for the numerical solution of integral equations with logarithmic kernels ⋮ An Axisymmetric Problem for a Patch Loaded Material Surface Attached to the Boundary of an Elastic Semi-space ⋮ Collocation methods for terminal value problems of tempered fractional differential equations ⋮ An adhesive contact problem for a semi-plane with a surface elasticity in the Steigmann-Ogden form ⋮ Productivity formulae of an infinite-conductivity hydraulically fractured well producing at constant wellbore pressure based on numerical solutions of a weakly singular integral equation of the first kind ⋮ Nyström methods for approximating the solutions of an integral equation arising from a problem in mathematical biology ⋮ Smoothing transformation for numerical solution of nonlinear weakly singular Volterra integral equations using quasilinearization and product integration methods ⋮ Intermediate value problems for fractional differential equations ⋮ Frictionless contact of a rigid stamp with a semi-plane in the presence of surface elasticity in the Steigmann–Ogden form ⋮ A Collocation Method Based on the Central Part Interpolation for Integral Equations ⋮ Nyström-quasilinearization method and smoothing transformation for the numerical solution of nonlinear weakly singular Fredholm integral equations ⋮ A solution to a boundary-value problem for integro-differential equations with weakly singular kernels

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