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1. Newton-Product Integration for a Stefan Problem with Kinetics

K. Ivaz

Volume 22, Issue 1 , Winter 2011, , Pages 51-111

Abstract
  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 ...  Read More

2. Nonlinear Two-Phase Stefan Problem

K. Ivaz

Volume 18, Issue 4 , Autumn 2007, , Pages 329-337

Abstract
  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.  Read More