A numerical method for solving linear integral equations of the second kind on the non-rectangular domains based on the meshless method
type: Item
instance of: scholarly article
title: A numerical method for solving linear integral equations of the second kind on the non-rectangular domains based on the meshless method
zbMATH Open document ID: 1427.65415
author: Pouria Assari
author: Hojatollah Adibi
author: Mehdi Dehghan
published in: Applied Mathematical Modelling
publication date: 2018-10-11T00:00:00Z
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 6951955
zbMATH Keywords: two-dimensional Fredholm integral equation
zbMATH Keywords: mixed Volterra-Fredholm integral equation
zbMATH Keywords: radial basis function (RBF)
zbMATH Keywords: meshless method
zbMATH Keywords: non-rectangular domain
zbMATH Keywords: error analysis
MaRDI profile type: Publication
full work available at URL: j.apm.2013.04.047
OpenAlex ID: W2043660059
cites work: An electromagnetic integral equation: Application to microtearing modes
cites work: On a method of solving two-dimensional integral equations of axisymmetric contact problems for bodies with complex rheology
cites work: A two-dimensional singular integral equation of diffraction theory
cites work: The Numerical Solution of Integral Equations of the Second Kind
cites work: Piecewise Continuous Collocation for Integral Equations
cites work: On the Discrete Galerkin Method for Fredholm Integral Equations of the Second Kind
cites work: Richardson extrapolation of iterated discrete Galerkin solution for two-dimensional Fredholm integral equations
cites work: A Collocation Method for Fredholm Integral Equations of the Second Kind
cites work: Linear integral equations
cites work: A fast numerical solution method for two dimensional Fredholm integral equations of the second kind
cites work: Numerical methods for Fredholm integral equations on the square
cites work: A COMPUTATIONAL METHOD FOR SOLVING TWO-DIMENSIONAL LINEAR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND
cites work: Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem. II: High dimensional problems
cites work: A meshless based method for solution of integral equations
cites work: Thresholds and travelling waves for the geographical spread of infection
cites work: Q4669729
cites work: On mixed Volterra-Fredholm type integral equations
cites work: A model for the spatial spread of an epidemic
cites work: Collocation Methods for Volterra Integral and Related Functional Differential Equations
cites work: Continuous time collocation methods for Volterra-Fredholm integral equations
cites work: Asymptotic expansion for the trapezoidal Nyström method of linear Volterra-Fredholm equations
cites work: A new computational method for Volterra-Fredholm integral equations
cites work: A reliable treatment for mixed Volterra-Fredholm integral equations
cites work: An efficient numerical approximation for the linear class of mixed integral equations
cites work: Two-dimensional Legendre Wavelets Method for the Mixed Volterra-Fredholm Integral Equations
cites work: Q3097161
cites work: Solving nonlinear mixed Volterra-Fredholm integral equations with two dimensional block-pulse functions using direct method
cites work: Numerical Solution of Two-Dimensional Integral Equations Using Linear Elements
cites work: Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
cites work: Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
cites work: An efficient numerical scheme for Burger equation
cites work: A method for solving partial differential equations via radial basis functions: application to the heat equation
cites work: A numerical method for heat transfer problems using collocation and radial basis functions
cites work: On the use of boundary conditions for variational formulations arising in financial mathematics.
cites work: A numerical method for KdV equation using collocation and radial basis functions
cites work: Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
cites work: Radial Basis Functions
cites work: Scattered Data Approximation
cites work: Numerical solution of the second kind integral equations using radial basis function networks
cites work: Radial basis function networks in the numerical solution of linear integro-differential equations
cites work: Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via collocation method based on radial basis functions
cites work: Solving a system of nonlinear integral equations by an RBF network
cites work: Numerical solution of the two-dimensional Fredholm integral equations using Gaussian radial basis function
cites work: Scattered Data Interpolation: Tests of Some Method
cites work: Exponential convergence andH-c multiquadric collocation method for partial differential equations
cites work: On choosing ``optimal'' shape parameters for RBF approximation
cites work: Q4210921
cites work: On a method for solving a two-dimensional nonlinear integral equation of the second kind
cites work: Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions
cites work: Extrapolation of Nyström solution for two dimensional nonlinear Fredholm integral equations
cites work: Projection and Iterated Projection Methods for Nonlinear Integral equations
cites work: A survey of numerical methods for solving nonlinear integral equations
cites work: A meshless method for solving nonlinear two-dimensional integral equations of the second kind on non-rectangular domains using radial basis functions with error analysis
cites work: A Discrete Collocation-Type Method for Hammerstein Equations
cites work: A New Collocation-Type Method for Hammerstein Integral Equations
cites work: The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods
cites work: Q4938081

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A numerical method for solving linear integral equations of the second kind on the non-rectangular domains based on the meshless method (DOI)
DOI: 10.1016/J.APM.2013.04.047