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

Document Type : Research Paper


1 University of Tabriz

2 Institute for studies in theoretical physics and mathematics


We reduce the two phase Stefan problem with kinetic to a system of
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.


Main Subjects