Extrapolation algorithms for solving nonlinear boundary integral equations by mechanical quadrature methods

DOI10.1007/s11075-011-9469-2zbMath1241.65104OpenAlexW2025394962MaRDI QIDQ652336

Pan Cheng, Jin Huang

Publication date: 14 December 2011

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-011-9469-2

zbMATH Keywords

algorithmsnumerical exampleserror analysisnonlinear boundary conditionnonlinear integral equationRichardson extrapolationLaplace's equationextrapolation algorithmmechanical quadrature methodnonlinear boundary integral equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

Numerical solutions for nonlinear Volterra-Fredholm integral equations of the second kind with a phase lag ⋮ Fast Fourier-Galerkin methods for nonlinear boundary integral equations ⋮ Solving a class of nonlinear boundary integral equations based on the meshless local discrete Galerkin (MLDG) method ⋮ Bivariate barycentric rational interpolation method for two dimensional fractional Volterra integral equations ⋮ A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions ⋮ New solution to the pressure transient equation in a two-layer reservoir with crossflow

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