%0 Journal Article
%T Newton-Product integration for a Two-phase Stefan problem with Kinetics
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A â€ŽBabayar-Razlighi, B.
%A Ivaz, Karim
%A Mokhtarzadeh, M. R.
%A Badamchizadeh, A. N.
%D 2012
%\ 12/15/2012
%V 38
%N 4
%P 853-868
%! Newton-Product integration for a Two-phase Stefan problem with Kinetics
%K Two-phase Stefan problem
%K Kinetic function
%K Newton's
method
%K Product integration
%K Nonlinear Volterra integral equations
%R
%X 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.
%U http://bims.iranjournals.ir/article_269_d77a723b16e1070e635dd7aabf3cbdec.pdf