Newton-Product integration for a Two-phase Stefan problem with Kinetics
نویسندگان
چکیده مقاله:
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.
منابع مشابه
Newton-Product Integration for a Stefan Problem with Kinetics
Stefan problem with kinetics is reduced to a system of nonlinear Volterra integral equations of second kind and Newton's method is applied to linearize it. Product integration solution of the linear form is found and sufficient conditions for convergence of the numerical method are given. An example is provided to illustrated the applicability of the method.
متن کاملnewton-product integration for a two-phase stefan problem with kinetics
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.
متن کاملnewton-product integration for a stefan problem with kinetics
stefan problem with kinetics is reduced to a system of nonlinear volterra integral equations of second kind and newton's method is applied to linearize it. product integration solution of the linear form is found and sufficient conditions for convergence of the numerical method are given. an example is provided to illustrated the applicability of the method.
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عنوان ژورنال
دوره 38 شماره 4
صفحات 853- 868
تاریخ انتشار 2012-12-15
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