Explicit solution for a two-phase fractional Stefan problem with a heat flux condition at the fixed face
نویسندگان
چکیده
منابع مشابه
Newton-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 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 کاملExistence and Uniqueness for One-phase Stefan Problems of Non-classical Heat Equations with Temperature Boundary Condition at a Fixed Face
We prove the existence and uniqueness, local in time, of a solution for a one-phase Stefan problem of a non-classical heat equation for a semiinfinite material with temperature boundary condition at the fixed face. We use the Friedman-Rubinstein integral representation method and the Banach contraction theorem in order to solve an equivalent system of two Volterra integral equations.
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 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 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: Computational and Applied Mathematics
سال: 2018
ISSN: 0101-8205,1807-0302
DOI: 10.1007/s40314-018-0600-z