A RBF-based technique for 3D convection-diffusion-reaction problems in an anisotropic inhomogeneous medium
type: Item
instance of: scholarly article
title: A RBF-based technique for 3D convection-diffusion-reaction problems in an anisotropic inhomogeneous medium
zbMATH Open document ID: 1443.65392
author: Ji Lin
author: Sergiy Y. Reutskiy
publication date: 2020-10-07T00:00:00Z
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65D12
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 7256694
zbMATH Keywords: convection-diffusion-reaction equation
zbMATH Keywords: anisotropic media
zbMATH Keywords: elliptic partial differential equation
zbMATH Keywords: radial basis function
zbMATH Keywords: semi-analytical method
MaRDI profile type: Publication
full work available at URL: j.camwa.2019.10.010
OpenAlex ID: W2981761333
cites work: Q5514046
cites work: Fourth-order finite difference methods for three-dimensional general linear elliptic problems with variable coefficients
cites work: Q4241697
cites work: High accuracy multigrid solution of the 3D convection-diffusion equation
cites work: A general meshsize fourth-order compact difference discretization scheme for 3D Poisson equation
cites work: Fast and high accuracy multigrid solution of the three dimensional Poisson equation
cites work: An explicit fourth-order compact finite difference scheme for three-dimensional convection-diffusion equation
cites work: Technical note: The numerical solution of the system of 3‐D nonlinear elliptic equations with mixed derivatives and variable coefficients using fourth‐order difference methods
cites work: A new high order compact off-step discretization for the system of 3D quasi-linear elliptic partial differential equations
cites work: A simple form for the fourth order difference method for 3-D elliptic equations
cites work: A new highly accurate discretization for three-dimensional singularly perturbed nonlinear elliptic partial differential equations
cites work: Q4508629
cites work: A finite-difference method for the variable coefficient Poisson equation on hierarchical Cartesian meshes
cites work: Haar wavelet collocation method for three-dimensional elliptic partial differential equations
cites work: A novel meshless method for fully nonlinear advection-diffusion-reaction problems to model transfer in anisotropic media
cites work: Simulation of Seismic Wave Scattering by Embedded Cavities in an Elastic Half-Plane Using the Novel Singular Boundary Method
cites work: Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation
cites work: A meshless radial basis function method for 2D steady-state heat conduction problems in anisotropic and inhomogeneous media
cites work: A meshless radial basis function method for steady-state advection-diffusion-reaction equation in arbitrary 2D domains
cites work: Simulation of linear and nonlinear advection-diffusion-reaction problems by a novel localized scheme
cites work: Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions
cites work: An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
cites work: Optimal shape parameter in the MQ-RBF by minimizing an energy gap functional
cites work: The sample solution approach for determination of the optimal shape parameter in the multiquadric function of the Kansa method
cites work: Optimal sources in the MFS by minimizing a new merit function: energy gap functional
cites work: Numerical investigation on the obliquely incident water wave passing through the submerged breakwater by singular boundary method
DOI: 10.1016/J.CAMWA.2019.10.010
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 7256694