To numerically solve this problem, an analysis when the time goes to zero is being done. The approximative solutions are shown graphically with proper error estimates.Jonsson, TobiasT. Jonsson, On the one dimensional Stefan problem with some numerical analysis, University UMEA. Pag.8-15 (20...
A one-dimensional Stefan problem involving several phases (solid, liquid, vapor) which can appear and disappear is considered. A numerical method for such problems is described and numerically tested. It is derived from a previous method of the same authors for one-phase problems. It is a ...
A method for the numerical solution of the one-dimensional inverse Stefan problem In this paper we suggest the use of complete families of solutions of the heat equation for the numerical solution of the inverse Stefan problem. Our appro... R Reemtsen,Andreas Kirsch - 《Numerische Mathematik》...
Three exponential iterative methods for one-dimensional one-phase Stefan problems based on the transformation of the moving boundary problem into a mixed one, the discretization of the time variable, and the piecewise linearization of the resulting two-point boundary-value problem at each time step ...
A method for the numerical-solution of the one-dimensional inverse stefan problem[J].Numerische Mathematik,1984.253-273.Reemtsen, R., Kirsch, A.: A method for the numerical solution of the one-dimensional inverse Stefan problem, part I, II. Preprint TH Darmstadt, Mathematik, Nr. 641, Nr. ...
A fixed-grid embedding technique using a finite-element discretization and a boundary Green's function is developed for unsteady change-of-phase conductive-heat-transfer problems. A one-dimensional Stefan problem is analyzed, and the results of the numerical calculations are shown to be in good agr...
Actually, in our work we will examine usefulness of radial basis functions (especially multiquadric-MQ) for one-dimensional Stefan's problems. The position of the moving boundary will be simulated by moving grid method. The resultant system of RBF-PDE will be solved by affine space decomposition...
In the present paper, we consider the multi-dimensional one-phase Stefan problem describing the process of phase transition in an incompressible viscous fluid. The model is described as a free boundary problem consisting of the heat equation with a transport term and the Navier–Stokes equations. ...
In the present paper, we consider the multi-dimensional one-phase Stefan problem describing the process of phase transition in an incompressible viscous fluid. The model is described as a free boundary problem consisting of the heat equation with a transport term and the Navier–Stokes equations. ...
BLOW-UP SOLUTIONS OF THE TWO-DIMENSIONAL HEAT EQUATION DUE TO A LOCALIZED MOVING SOURCE The problem examined is that of a localized energy source which undergoes planar motion along the surface of a reactive-diffusive medium. This is represent... CM Kirk,WE Olmstead - 《Analysis & Applications...