Optimization, conditioning and accuracy of radial basis function method for partial differential equations with nonlocal boundary conditions -- a case of two-dimensional Poisson equation

DOI10.1016/j.enganabound.2013.01.009zbMath1297.65170OpenAlexW2019743609WikidataQ115353859 ScholiaQ115353859MaRDI QIDQ463689

Svajūnas Sajavičius

Publication date: 17 October 2014

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2013.01.009

zbMATH Keywords

condition numbercollocationPoisson equationradial basis functionnonlocal boundary conditionmeshless methodshape parameter

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (11)

Approximate solution of linear and nonlinear fractional differential equations under \(m\)-point local and nonlocal boundary conditions ⋮ Radial basis function method for a multidimensional linear elliptic equation with nonlocal boundary conditions ⋮ Radial basis function collocation method for an elliptic problem with nonlocal multipoint boundary condition ⋮ A modified RBF collocation method for solving the convection-diffusion problems ⋮ Some new operational matrices and its application to fractional order Poisson equations with integral type boundary constrains ⋮ Error estimate of a high accuracy difference scheme for Poisson equation with two integral boundary conditions ⋮ Comparison of meshless local weak and strong forms based on particular solutions for a non-classical 2-D diffusion model ⋮ Numerical solution of two-dimensional elliptic PDEs with nonlocal boundary conditions ⋮ On the convergence of iterative methods and pseudoinverse approaches in global meshless collocation ⋮ The solution of initial-boundary value problems with non-local boundary conditions using exponential basis functions ⋮ A Meshfree Computational Approach Based on Multiple-Scale Pascal Polynomials for Numerical Solution of a 2D Elliptic Problem with Nonlocal Boundary Conditions

Uses Software

• Matlab
• rbf_qr

Cites Work

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