The two-sided Stefan problem with a spatially dependent latent heat
نویسندگان
چکیده
منابع مشابه
A Two–Sided Contracting Stefan Problem
We study a novel two–sided Stefan problem – motivated by the study of certain 2D interfaces – in which boundaries at both sides of the sample encroach into the bulk with rate equal to the boundary value of the gradient. Here the density is in [0, 1] and takes the two extreme values at the two free boundaries. It is noted that the problem is borderline ill–posed: densities in excess of unity lia...
متن کاملNonlinear Two-Phase Stefan Problem
In this paper we consider a nonlinear two-phase Stefan problem in one-dimensional space. The problem is mapped into a nonlinear Volterra integral equation for the free boundary.
متن کاملHOMOTOPY PERTURBATION METHOD FOR A STEFAN PROBLEM WITH VARIABLE LATENT HEAT by RAJEEV
The mathematical model of the movement of the shoreline in a sedimentary ocean basin (A Shoreline Problem) is a Stefan problem with variable latent heat. Swenson et al. [1] utilized an analogy with one-phase melting problem and developed a mathematical model for movement of shoreline in a sedimentary basin in response to changes in sediment line flux, tectonic subsidence of Earth's crust and se...
متن کاملSolving The Stefan Problem with Kinetics
We introduce and discuss the Homotopy perturbation method, the Adomian decomposition method and the variational iteration method for solving the stefan problem with kinetics. Then, we give an example of the stefan problem with kinetics and solve it by these methods.
متن کاملNewton-Product integration for a Two-phase Stefan problem with Kinetics
We reduce the two phase Stefan problem with kinetic to a system of nonlinear Volterra integral equations of second kind and apply Newton's method to linearize it. We found product integration solution of the linear form. Sufficient conditions for convergence of the numerical method are given and their applicability is illustrated with an example.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1991
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1991-1008699-5