A novel numerical method of two-dimensional Fredholm integral equations of the second kind

DOI10.1155/2015/625013zbMath1394.65166OpenAlexW1564487684WikidataQ59119153 ScholiaQ59119153MaRDI QIDQ1666164

Yanying Ma, Hu Li, Jin Huang

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/625013

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items (10)

Barycentric interpolation collocation methods for solving linear and nonlinear high-dimensional Fredholm integral equations ⋮ A specific numerical method for two-dimensional linear Fredholm integral equations of the second kind by Boubaker polynomial bases ⋮ Nyström methods for bivariate Fredholm integral equations on unbounded domains ⋮ Numerical algorithm with high accuracy for the modified Helmholtz equation with Robin boundary value problem ⋮ Bivariate barycentric rational interpolation method for two dimensional fractional Volterra integral equations ⋮ A novel and efficient numerical algorithm for solving 2D Fredholm integral equations ⋮ A numerical method for solvability of some non-linear functional integral equations ⋮ On the numerical treatment and analysis of two-dimensional Fredholm integral equations using quasi-interpolant ⋮ A multidimensional reverse interpolation method and its application in solving the multidimensional Fredholm integral equations ⋮ Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Sinc Nyström method

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem. II: High dimensional problems
• Numerical method for analysis of one- and two-dimensional electromagnetic scattering based on using linear Fredholm integral equation models
• Accuracy of approximations of solutions to Fredholm equations by kernel methods
• Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind
• Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem
• Numerical methods for Fredholm integral equations on the square
• Numerical solution of the two-dimensional Fredholm integral equations using Gaussian radial basis function
• Numerical solution of linear Fredholm integral equations via two-dimensional modification of hat functions
• Numerical analysis of the radiosity equation using the collocation method
• Two-dimensional wavelets for numerical solution of integral equations
• Nyström method for Fredholm integral equations of the second kind in two variables on a triangle
• A new Nyström-type method for Fredholm integral equations of the second kind
• Numerical solution of the second kind integral equations using radial basis function networks
• A fast wavelet collocation method for integral equations on polygons
• An electromagnetic integral equation: Application to microtearing modes
• A COMPUTATIONAL METHOD FOR SOLVING TWO-DIMENSIONAL LINEAR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND
• The Numerical Solution of Laplace’s Equation in Three Dimensions
• The Numerical Solution of Integral Equations of the Second Kind
• Richardson extrapolation of iterated discrete Galerkin solution for two-dimensional Fredholm integral equations

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