Symmetric method of approximate particular solutions for solving certain partial differential equations
DOI10.1016/j.enganabound.2020.07.009zbMath1464.65197OpenAlexW3044481613WikidataQ115353826 ScholiaQ115353826MaRDI QIDQ2209343
Chia-Cheng Tsai, Jen-Yi Chang, Ru-yun Chen
Publication date: 31 October 2020
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2020.07.009
convection-diffusion problemmeshless methodmethod of approximate particular solutionsradial basis function collocation method
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80) Numerical radial basis function approximation (65D12)
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Cites Work
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- A global meshless collocation particular solution method (integrated radial basis function) for two-dimensional Stokes flow problems
- Analytical particular solutions of multiquadrics associated with polyharmonic operators
- Interpolation of scattered data: distance matrices and conditionally positive definite functions
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- A new approach to free vibration analysis using boundary elements
- BEM for transient 2D elastodynamics using multiquadric functions
- Free vibration multiquadric boundary elements applied to plane elasticity
- The method of fundamental solutions for elliptic boundary value problems
- Radial basis function approximation in the dual reciprocity method
- A comparison analysis between unsymmetric and symmetric radial basis function collocation methods for the numerical solution of partial differential equations
- Generalized polyharmonic multiquadrics
- Method of approximate particular solutions for constant- and variable-order fractional diffusion models
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- Solving differential equations with radial basis functions: Multilevel methods and smoothing
- Method of particular solutions for nonlinear Poisson-type equations in irregular domains
- A global meshless collocation particular solution method for solving the two-dimensional Navier-Stokes system of equations
- The global approximate particular solution meshless method for two-dimensional linear elasticity problems
- The method of approximate particular solutions for solving certain partial differential equations
- THE METHOD OF APPROXIMATE PARTICULAR SOLUTIONS FOR SOLVING ELLIPTIC PROBLEMS WITH VARIABLE COEFFICIENTS
- Fundamental Solutions Method for Elliptic Boundary Value Problems
- Some Stable Methods for Calculating Inertia and Solving Symmetric Linear Systems
- The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
- Some observations on unsymmetric radial basis function collocation methods for convection-diffusion problems
- Radial basis function collocation method solution of natural convection in porous media
- A numerical study of the accuracy and stability of symmetric and asymmetric RBF collocation methods for hyperbolic PDEs
- The method of functional equations for the approximate solution of certain boundary value problems
