کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8902141 1631957 2018 46 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convergence of boundary integral method for a free boundary system
ترجمه فارسی عنوان
همگرایی روش انتگرال مرزی برای یک سیستم مرزی آزاد
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
Boundary integral method has been implemented successfully in practice for simulating problems with free boundaries. Though the method produces accurate and efficient numerical results, its convergence study is usually limited to numerical demonstrations by successively reducing time step and increasing resolution for a test problem. In this paper, we present a rigorous convergence and error analysis of the boundary integral method for a free boundary system. We focus our study on a nonlinear tumor growth problem. The boundary integral formulation yields a Fredholm type integral equation with moving boundaries. We show that in two dimensions, the convergence of the scheme in the L∞ norm has first order accuracy on the time direction and Δθα on the spatial direction.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 334, 15 May 2018, Pages 128-157
نویسندگان
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