Title of article :
Newton-Product integration for a two-phase Stefan problem with kinetics
Author/Authors :
Mokhtarzadeh، M. R. نويسنده Institute for studies in theoretical physics and mathematics , , Badamchizadeh، A. N. نويسنده University of Tabriz , , Ivaz، K. نويسنده , , Babayar-Razlighi، B. نويسنده University of Tabriz ,
Issue Information :
دوفصلنامه با شماره پیاپی 0 سال 2012
Abstract :
We reduce the two phase Stefan problem with kinetic to a system of
nonlinear
Volterra integral equations of second kind and apply
Newtonʹs method to linearize it. We provide the 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.
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society