Newton-Product integration for a Two-phase Stefan problem with Kinetics

Document Type : Research Paper

Authors

1 University of Tabriz

2 Institute for studies in theoretical physics and mathematics

Abstract

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.

Keywords

Main Subjects


Volume 38, Issue 4 - Serial Number 4
December 2012
Pages 853-868
  • Receive Date: 30 April 2009
  • Revise Date: 21 June 2010
  • Accept Date: 21 June 2010
  • First Publish Date: 15 December 2012