A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions

DOI10.1016/j.cam.2017.11.020zbMath1380.65395OpenAlexW2769920427MaRDI QIDQ679601

Mehdi Dehghan, Pouria Assari

Publication date: 11 January 2018

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.2017.11.020

zbMATH Keywords

error analysisradial basis functionnonlinear Robin boundary conditionsLaplace's equationdiscrete Galerkin methodnonlinear boundary integral equationlogarithmic singular kernel

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (12)

Meshless local radial point interpolation (MLRPI) to two dimensional wave equation with Neumann’s boundary conditions ⋮ The approximate solution of nonlinear Volterra integral equations of the second kind using radial basis functions ⋮ Meshless procedure for highly oscillatory kernel based one-dimensional Volterra integral equations ⋮ Green's function and surface waves in a viscoelastic orthotropic FGM enforced by an impulsive point source ⋮ Degree sequence conditions for maximally edge-connected and super edge-connected hypergraphs ⋮ Error asymptotic expansion for the numerical approximation of logarithmic-kernel integral equations on closed curves ⋮ An application of Lobatto–Chebyshev method to a nonhomogeneous plane problem with two cracks ⋮ A class of Runge-Kutta methods for nonlinear Volterra integral equations of the second kind with singular kernels ⋮ A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations ⋮ An accurate a posteriori error estimator for semilinear Neumann problem and its applications ⋮ Galerkin method with trigonometric basis on stable numerical differentiation ⋮ Meshless approximation method of one-dimensional oscillatory Fredholm integral equations

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