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Newton-Product Integration for a Stefan Problem with Kinetics | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 6، دوره 22، شماره 1، خرداد 2011، صفحه 51-111 اصل مقاله (305.8 K) | ||
| نویسنده | ||
| K. Ivaz | ||
| University of Tabriz | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Product integration؛ Stefan problem؛ Weakly singular Volterra integral equations؛ Kinetic function؛ Newton's method | ||
| عنوان مقاله [English] | ||
| Newton-Product Integration for a Stefan Problem with Kinetics | ||
| نویسندگان [English] | ||
| K. Ivaz | ||
| چکیده [English] | ||
| 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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آمار تعداد مشاهده مقاله: 1,367 تعداد دریافت فایل اصل مقاله: 1,712 |
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