An explicit solution for a two-phase Stefan problem with a similarity exponential heat sources
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 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 کاملNewton-Product Integration for a Stefan Problem with Kinetics
Stefan problem with kinetics is reduced to a system of nonlinear Volterra integral equations of second kind and Newton's method is applied to linearize it. Product integration solution of the linear form is found and sufficient conditions for convergence of the numerical method are given. An example is provided to illustrated the applicability of the method.
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ژورنال
عنوان ژورنال: MAT Serie A
سال: 2004
ISSN: 1515-4904
DOI: 10.26422/mat.a.2004.8.bri