A meshless method for one-dimensional Stefan problems
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Publication:555366
DOI10.1016/J.AMC.2011.04.053zbMath1220.65148OpenAlexW2171655585MaRDI QIDQ555366
Publication date: 22 July 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.053
numerical examplesFourier seriesStefan problemsmoving boundariesmethod of fundamental solutionsdelta-shaped functions
Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)
Related Items (11)
Two meshless methods based on pseudo spectral delta-shaped basis functions and barycentric rational interpolation for numerical solution of modified Burgers equation ⋮ An improved moving least-squares Ritz method for two-dimensional elasticity problems ⋮ Numerical solution of a non-classical two-phase Stefan problem via radial basis function (RBF) collocation methods ⋮ The method of approximate fundamental solutions (MAFS) for Stefan problems for the sphere ⋮ A composite method based on delta‐shaped basis functions and Lie group high‐order geometric integrator for solving Kawahara‐type equations ⋮ A combination of Lie group-based high order geometric integrator and delta-shaped basis functions for solving Korteweg–de Vries (KdV) equation ⋮ Numerical solution of the Schrödinger equations by using Delta-shaped basis functions ⋮ Delta-shaped basis functions-pseudospectral method for numerical investigation of nonlinear generalized equal width equation in shallow water waves ⋮ Legendre wavelet based numerical solution of variable latent heat moving boundary problem ⋮ An element-free computational framework for elastodynamic problems based on the IMLS-Ritz method ⋮ A numerical study on non-Fourier heat conduction model of phase change problem with variable internal heat generation
Cites Work
- Unnamed Item
- Unnamed Item
- The method of fundamental solutions for free surface Stefan problems
- Meshless collocation method by delta-shaped basis functions for default barrier model
- A Trefftz type method for time-dependent problems
- Approximate solution methods for one-dimensional solidification from an incoming fluid
- Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems
- The numerical solution of one-phase classical Stefan problem
- A numerical solution of the Stefan problem with a Neumann-type boundary condition by enthalpy method.
- Finite difference solution of one-dimensional Stefan problem with periodic boundary conditions.
- Spherical solidification by the enthalpy method and the heat balance integral method
- A boundary method of Trefftz type for PDEs with scattered data
- A cubic heat balance integral method for one-dimensional melting of a finite thickness layer
- A comparison of numerical models for one-dimensional Stefan problems
- Starting solutions for the boundary immobilization method
- A basis function for approximation and the solutions of partial differential equations
- A computational method for inverse free boundary determination problem
- A boundary meshless method using Chebyshev interpolation and trigonometric basis function for solving heat conduction problems
- A Comparative Study of Numerical Methods for Moving Boundary Problems
- A Nodal Method for Phase Change Moving Boundary Problems
- A computationally efficient solution technique for moving-boundary problems in finite media
- Numerical solution of one-phase Stefan problems by the heat balance integral method, Part I?cylindrical and spherical geometries
- Numerical solution of one-phase Stefan problems by the heat balance integral method, Part II?special small time starting procedure
- Numerical methods for one-dimensional Stefan problems
- Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems
- Approximation of multivariate functions and evaluation of particular solutions using Chebyshev polynomial and trigonometric basis functions
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