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

Article 1, Volume 38, Number 4, December 2012, Page 853-868  XML PDF (317 K)
Document Type: Research Paper
Authors
1B. ‎Babayar-Razlighi; 1Karim Ivaz ; 2M. R. Mokhtarzadeh; 1A. N. Badamchizadeh
1University of Tabriz
2Institute 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.
Keywords
Two-phase Stefan problem; Kinetic function; Newton's method; Product integration; Nonlinear Volterra integral equations
Main Subjects
41-XX Approximations and expansions; 44-XX Integral transforms, operational calculus
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