TY - JOUR
ID - 269
TI - Newton-Product integration for a Two-phase Stefan problem with Kinetics
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - â€ŽBabayar-Razlighi, B.
AU - Ivaz, Karim
AU - Mokhtarzadeh, M. R.
AU - Badamchizadeh, A. N.
AD - University of Tabriz
AD - Institute for
studies in
theoretical physics and mathematics
Y1 - 2012
PY - 2012
VL - 38
IS - 4
SP - 853
EP - 868
KW - Two-phase Stefan problem
KW - Kinetic function
KW - Newton's
method
KW - Product integration
KW - Nonlinear Volterra integral equations
DO -
N2 - 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.
UR - http://bims.iranjournals.ir/article_269.html
L1 - http://bims.iranjournals.ir/article_269_d77a723b16e1070e635dd7aabf3cbdec.pdf
ER -