A meshless method for one-dimensional Stefan problems
type: Item
instance of: scholarly article
title: A meshless method for one-dimensional Stefan problems
zbMATH Open document ID: 1220.65148
published in: Applied Mathematics and Computation
publication date: 2011-07-22T00:00:00Z
Mathematics Subject Classification ID: 65M80
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 80M25
zbMATH DE Number: 5931324
zbMATH Keywords: Stefan problems
zbMATH Keywords: method of fundamental solutions
zbMATH Keywords: Fourier series
zbMATH Keywords: delta-shaped functions
zbMATH Keywords: moving boundaries
zbMATH Keywords: numerical examples
author: Sergiy Y. Reutskiy
MaRDI profile type: Publication
full work available at URL: j.amc.2011.04.053
OpenAlex ID: W2171655585
cites work: Q3338613
cites work: Numerical methods for one-dimensional Stefan problems
cites work: A numerical solution of the Stefan problem with a Neumann-type boundary condition by enthalpy method.
cites work: Spherical solidification by the enthalpy method and the heat balance integral method
cites work: Starting solutions for the boundary immobilization method
cites work: Finite difference solution of one-dimensional Stefan problem with periodic boundary conditions.
cites work: The numerical solution of one-phase classical Stefan problem
cites work: A computationally efficient solution technique for moving-boundary problems in finite media
cites work: A Nodal Method for Phase Change Moving Boundary Problems
cites work: Numerical solution of one-phase Stefan problems by the heat balance integral method, Part II?special small time starting procedure
cites work: Numerical solution of one-phase Stefan problems by the heat balance integral method, Part I?cylindrical and spherical geometries
cites work: Approximate solution methods for one-dimensional solidification from an incoming fluid
cites work: A cubic heat balance integral method for one-dimensional melting of a finite thickness layer
cites work: Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems
cites work: Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems
cites work: A Comparative Study of Numerical Methods for Moving Boundary Problems
cites work: A comparison of numerical models for one-dimensional Stefan problems
cites work: A computational method for inverse free boundary determination problem
cites work: The method of fundamental solutions for free surface Stefan problems
cites work: Meshless collocation method by delta-shaped basis functions for default barrier model
cites work: A boundary method of Trefftz type for PDEs with scattered data
cites work: A basis function for approximation and the solutions of partial differential equations
cites work: A Trefftz type method for time-dependent problems
cites work: A boundary meshless method using Chebyshev interpolation and trigonometric basis function for solving heat conduction problems
cites work: Q3846497
cites work: Approximation of multivariate functions and evaluation of particular solutions using Chebyshev polynomial and trigonometric basis functions
DOI: 10.1016/J.AMC.2011.04.053
description: scientific article; zbMATH DE number 5931324