Explicit and implicit meshless methods for linear advection-diffusion-type partial differential equations
type: Item
instance of: scholarly article
zbMATH Open document ID: 0968.65053
author: K. Djidjeli
author: M. Zerroukat
author: Abdellatif Charafi
publication date: 2001-09-02T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 1487426
zbMATH Keywords: radial basis functions
zbMATH Keywords: diffusion-convection equation
zbMATH Keywords: Crank-Nicolson scheme
zbMATH Keywords: explicit scheme
zbMATH Keywords: theta-scheme
zbMATH Keywords: collocation
zbMATH Keywords: upwinding
zbMATH Keywords: thin plate splines
zbMATH Keywords: numerical results
zbMATH Keywords: stability
zbMATH Keywords: convergence
MaRDI profile type: Publication
cites work: Meshless methods: An overview and recent developments
cites work: A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
cites work: The finite difference method at arbitrary irregular grids and its application in applied mechanics
cites work: An interpolation method for an irregular net of nodes
cites work: Smoothed particle hydrodynamics: theory and application to non-spherical stars
cites work: Why Particle Methods Work
cites work: An introduction to SPH
cites work: Generalizing the finite element method: Diffuse approximation and diffuse elements
cites work: Element‐free Galerkin methods
cites work: A new implementation of the element free Galerkin method
cites work: Reproducing kernel particle methods
cites work: Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
cites work: Application of the multiquadric method for numerical solution of elliptic partial differential equations
cites work: Solving partial differential equations by collocation using radial basis functions
cites work: Convergence order estimates of meshless collocation methods using radial basis functions
cites work: A numerical method for heat transfer problems using collocation and radial basis functions
cites work: The parameter \(R^ 2\) in multiquadric interpolation
cites work: Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
cites work: Interpolation of scattered data: distance matrices and conditionally positive definite functions
cites work: A more accurate FD solution for the 3D non‐linear heat equation
cites work: Numerical Procedures for Surface Fitting of Scattered Data by Radial Functions
cites work: Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
cites work: Compactly supported positive definite radial functions
cites work: A boundary element scheme for diffusion problems using compactly supported radial basis functions
OpenAlex ID: W2062649642
title: Explicit and implicit meshless methods for linear advection-diffusion-type partial differential equations
DOI: 10.1002/(SICI)1097-0207(20000510)48:1%3C19::AID-NME862%3E3.0.CO;2-3
full work available at URL: https://doi.org/10.1002/(sici)1097-0207(20000510)48:1%3C19::aid-nme862%3E3.0.co
description: scientific article; zbMATH DE number 1487426