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NEWTON-PRODUCT INTEGRATION FOR A TWO-PHASE STEFAN PROBLEM WITH KINETICS Communicated by Mohammad Asadzadeh
2012
Bulletin of the Iranian Mathematical Society
unpublished
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 provide the 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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