A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions
type: Item
instance of: scholarly article
title: A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions
zbMATH Open document ID: 1380.65395
author: Pouria Assari
author: Mehdi Dehghan
published in: Journal of Computational and Applied Mathematics
publication date: 2018-01-11T00:00:00Z
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 6824496
zbMATH Keywords: nonlinear boundary integral equation
zbMATH Keywords: Laplace's equation
zbMATH Keywords: logarithmic singular kernel
zbMATH Keywords: discrete Galerkin method
zbMATH Keywords: radial basis function
zbMATH Keywords: error analysis
zbMATH Keywords: nonlinear Robin boundary conditions
MaRDI profile type: Publication
full work available at URL: j.cam.2017.11.020
OpenAlex ID: W2769920427
cites work: Multivariate interpolation at arbitrary points made simple
cites work: Q3896398
cites work: Scattered Data Interpolation: Tests of Some Method
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 solution of the non-local parabolic partial differential equations via 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: A not-a-knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation
cites work: A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
cites work: Q4938081
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 numerical method for solving linear integral equations of the second kind on the non-rectangular domains based on the meshless method
cites work: Numerical solution of the second kind integral equations using radial basis function networks
cites work: Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via collocation method based on radial basis functions
cites work: The numerical solution of weakly singular integral equations based on the meshless product integration (MPI) method with error analysis
cites work: A meshless method based on the moving least squares (MLS) approximation for the numerical solution of two-dimensional nonlinear integral equations of the second kind on non-rectangular domains
cites work: A meshless based method for solution of integral equations
cites work: The numerical solution of the non-linear integro-differential equations based on the meshless method
cites work: A meshless discrete Galerkin (MDG) method for the numerical solution of integral equations with logarithmic kernels
cites work: A Galerkin boundary node method and its convergence analysis
cites work: Meshless Galerkin algorithms for boundary integral equations with moving least square approximations
cites work: A Galerkin boundary node method for biharmonic problems
cites work: Boundary Integral Equation Methods for Solving Laplace's Equation with Nonlinear Boundary Conditions: The Smooth Boundary Case
cites work: Nonlinear boundary integral equations for harmonic problems
cites work: Universal quadratures for boundary integral equations on two-dimensional domains with corners
cites work: Extrapolation algorithms for solving nonlinear boundary integral equations by mechanical quadrature methods
cites work: Implementation of meshless LBIE method to the 2D non-linear SG problem
cites work: The Numerical Solution of Integral Equations of the Second Kind
cites work: On the collocation method for a nonlinear boundary integral equation
cites work: The numerical solution of a non-linear boundary integral equation on smooth surfaces
cites work: Piecewise Polynomial Collocation for Boundary Integral Equations
cites work: Mechanical quadrature methods and extrapolation for solving nonlinear boundary Helmholtz integral equations
cites work: A Fast Numerical Solution for a Second Kind Boundary Integral Equation with a Logarithmic Kernel
cites work: An implementation of fast wavelet Galerkin methods for integral equations of the second kind
cites work: Wavelet approximations for first kind boundary integral equations on polygons
cites work: Wavelet Galerkin Schemes for Boundary Integral Equations---Implementation and Quadrature
cites work: Galerkin trigonometric wavelet methods for the natural boundary integral equations
cites work: Trigonometric Hermite wavelet approximation for the integral equations of second kind with weakly singular kernel
cites work: Wavelet numerical solutions for weakly singular Fredholm integral equations of the second kind
cites work: Q4951031
cites work: A Spectral Galerkin Method for a Boundary Integral Equation
cites work: A meshless Galerkin method for Stokes problems using boundary integral equations
cites work: Scattered Data Approximation
cites work: Radial Basis Functions
cites work: Gauss-Type Quadratures for Weakly Singular Integrals and their Application to Fredholm Integral Equations of the Second Kind
cites work: Linear integral equations
cites work: The Discrete Galerkin Method for Integral Equations
cites work: Exponential convergence andH-c multiquadric collocation method for partial differential equations
cites work: On choosing ``optimal'' shape parameters for RBF approximation
DOI: 10.1016/J.CAM.2017.11.020
Recommended article: A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions
Recommended article: A meshless Galerkin method for Dirichlet problems using radial basis functions
Recommended article: A MESHLESS LOCAL GALERKIN INTEGRAL EQUATION METHOD FOR SOLVING A TYPE OF DARBOUX PROBLEMS BASED ON RADIAL BASIS FUNCTIONS

A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions (Recommended article)
Recommended article: 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
Similarity Score: 0.9021195
Recommender Run: Recommender Run 3

A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions (Recommended article)
Recommended article: A meshless method based on boundary integral equations and radial basis functions for biharmonic-type problems
Similarity Score: 0.9017477
Recommender Run: Recommender Run 3

A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions (Recommended article)
Recommended article: A meshless technique based on the radial basis functions for solving systems of partial differential equations
Similarity Score: 0.9015775
Recommender Run: Recommender Run 3

A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions (Recommended article)
Recommended article: Meshless Galerkin methods using radial basis functions
Similarity Score: 0.8946089
Recommender Run: Recommender Run 3

A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions (Recommended article)
Recommended article: A Radial Basis Function Meshless Numerical Method for Solving Interface Problems in Irregular Domains
Similarity Score: 0.89249146
Recommender Run: Recommender Run 3

A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions (Recommended article)
Recommended article: Solving partial differential equations by meshless methods using radial basis functions
Similarity Score: 0.89111596
Recommender Run: Recommender Run 3

A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions (Recommended article)
Recommended article: On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method
Similarity Score: 0.8910433
Recommender Run: Recommender Run 3