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

Authors

A. Badamchizadeh University of Tabriz

B. ‎Babayar-Razlighi University of Tabriz

Karim Ivaz University of Tabriz

M. Mokhtarzadeh 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.

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Journal title

Bulletin of the Iranian Mathematical Society

volume 38 issue 4

pages 853- 868

publication date 2012-12-15

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Keywords

Two-phase Stefan problem Kinetic function Newton's method Product integration Nonlinear Volterra integral equations

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