Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215Newton-Product integration for a Two-phase Stefan problem with Kinetics853868269ENB.â€ŽBabayar-RazlighiUniversity of TabrizKarimIvazUniversity of TabrizM. R.MokhtarzadehInstitute for
studies in
theoretical physics and mathematicsA. N.BadamchizadehUniversity of TabrizJournal Article20090430We reduce the two phase Stefan problem with kinetic to a system of <br />nonlinear <br /> Volterra integral equations of second kind and apply <br />Newton's method to linearize it. We found product integration <br />solution of the linear form. Sufficient conditions for convergence <br />of the numerical method are given and their applicability is <br />illustrated with an example.http://bims.iranjournals.ir/article_269_d77a723b16e1070e635dd7aabf3cbdec.pdf