2
Institute for studies in theoretical physics and mathematics
Abstract
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.
Babayar-Razlighi, B., Ivaz, K., Mokhtarzadeh, M. R. & Badamchizadeh, A. N. (2012). Newton-Product integration for a Two-phase Stefan problem with Kinetics. Bulletin of the Iranian Mathematical Society, 38(4), 853-868.
MLA
Babayar-Razlighi, B., Ivaz, K., Mokhtarzadeh, M. R., & Badamchizadeh, A. N. "Newton-Product integration for a Two-phase Stefan problem with Kinetics", Bulletin of the Iranian Mathematical Society, 38, 4, 2012, 853-868.
HARVARD
Babayar-Razlighi B., Ivaz K., Mokhtarzadeh M. R., Badamchizadeh A. N. (2012). 'Newton-Product integration for a Two-phase Stefan problem with Kinetics', Bulletin of the Iranian Mathematical Society, 38(4), pp. 853-868.
CHICAGO
B. Babayar-Razlighi, K. Ivaz, M. R. Mokhtarzadeh & A. N. Badamchizadeh, "Newton-Product integration for a Two-phase Stefan problem with Kinetics," Bulletin of the Iranian Mathematical Society, 38 4 (2012): 853-868,
VANCOUVER
Babayar-Razlighi B., Ivaz K., Mokhtarzadeh M. R., Badamchizadeh A. N. Newton-Product integration for a Two-phase Stefan problem with Kinetics. BIMS. 2012;38(4):853-868.
