%0 Journal Article
%T Newton-Product Integration for a
Stefan Problem with Kinetics
%J Journal of Sciences, Islamic Republic of Iran
%I University of Tehran
%Z 1016-1104
%A Ivaz, K.
%D 2011
%\ 03/01/2011
%V 22
%N 1
%P 51-111
%! Newton-Product Integration for a
Stefan Problem with Kinetics
%K Product integration
%K Stefan problem
%K Weakly singular Volterra integral equations
%K Kinetic function
%K Newton's method
%R
%X 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.
%U https://jsciences.ut.ac.ir/article_22213_71bbd670631e6e91ea57d3f328865801.pdf