A fictitious points one-step MPS-MFS technique

DOI10.1016/j.amc.2020.125332OpenAlexW3026791262MaRDI QIDQ2185436

Andreas Karageorghis, Fang-Fang Dou, Xiaomin Zhu, Ching-Shyang Chen

Publication date: 4 June 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125332

zbMATH Keywords

radial basis functionsmultiquadricsmethod of fundamental solutionsshape parametermethod of particular solutionsfictitious points method

Mathematics Subject Classification ID

Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (1)

Two-step MPS-MFS ghost point method for solving partial differential equations

Cites Work

• Unnamed Item
• A compact difference scheme for fractional sub-diffusion equations with the spatially variable coefficient under Neumann boundary conditions
• On choosing the location of the sources in the MFS
• A numerical study of some radial basis function based solution methods for elliptic PDEs
• Multi-quadric quasi-interpolation method coupled with FDM for the Degasperis-Procesi equation
• The method of fundamental solutions for elliptic boundary value problems
• Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary
• Radial basis function methods for the Rosenau equation and other higher order PDEs
• A novel finite volume method for the Riesz space distributed-order diffusion equation
• The method of fundamental solutions for the numerical solution of the biharmonic equation
• A meshless method for generalized linear or nonlinear Poisson-type problems
• An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
• The radial basis function differential quadrature method with ghost points
• An efficient MAPS for solving fourth order partial differential equations using trigonometric functions
• An efficient two grid method for miscible displacement problem approximated by mixed finite element methods
• A novel RBF collocation method using fictitious centres
• A monotone finite volume method for time fractional Fokker-Planck equations
• A Pseudospectral Fictitious Point Method for High Order Initial‐Boundary Value Problems
• The Numerical Evaluation of Particular Solutions for Poisson's Equation
• Scattered Data Interpolation: Tests of Some Method
• The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
• Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems
• The method of functional equations for the approximate solution of certain boundary value problems
• Osculatory interpolation in the method of fundamental solution for nonlinear Poisson problems

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