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

DOI10.1016/j.camwa.2021.04.001OpenAlexW3161182032WikidataQ115359474 ScholiaQ115359474MaRDI QIDQ2027598

Yanyan Li

Publication date: 27 May 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.04.001

zbMATH Keywords

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

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Numerical interpolation (65D05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

A \((2+1)\)-dimensional variable-coefficients extension of the Date-Jimbo-Kashiwara-Miwa equation: Lie symmetry analysis, optimal system and exact solutions ⋮ A polynomial-augmented RBF collocation method for fourth-order boundary value problems

Uses Software

• COMSOL

Cites Work

• Unnamed Item
• Unnamed Item
• Trigonometric variable shape parameter and exponent strategy for generalized multiquadric radial basis function approximation
• A random variable shape parameter strategy for radial basis function approximation methods
• A numerical study of some radial basis function based solution methods for elliptic PDEs
• The method of fundamental solutions for elliptic boundary value problems
• Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
• Radial basis function methods for the Rosenau equation and other higher order PDEs
• Doubly stochastic radial basis function methods
• Improved Kansa RBF method for the solution of nonlinear boundary value problems
• Particular solutions of Helmholtz-type operators using higher order polyharmonic splines
• The method of fundamental solutions for the numerical solution of the biharmonic equation
• 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
• A fictitious points one-step MPS-MFS technique
• A novel RBF collocation method using fictitious centres
• Kansa-RBF Algorithms for Elliptic Problems in Axisymmetric Domains
• The method of approximate particular solutions for solving certain partial differential equations
• A Pseudospectral Fictitious Point Method for High Order Initial‐Boundary Value Problems
• Scattered Data Interpolation: Tests of Some Method
• A Revisit on the Derivation of the Particular Solution for the Differential Operator ∆² ± λ²

This page was built for publication: Two-step MPS-MFS ghost point method for solving partial differential equations