کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8901709 | 1631946 | 2019 | 31 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Boundary element method for a free third boundary problem modeling tumor growth with spectral accuracy
ترجمه فارسی عنوان
روش عنصر مرزی برای یک مشکل مرزی آزاد سوم مدل رشد تومور با دقت طیفی
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
چکیده انگلیسی
By boundary element method, we present a numerical iterative process for solving a free third boundary problem modeling tumor growth with spectral accuracy. The piecewise quadratic curves are fitted to maintain local smoothness of the boundary at every node. The double-layer and single-layer potentials with weakly singular kernels are evaluated with spectral accuracy. The method of characteristics is employed to transform interfacial velocity PDE into discrete ODEs. The numerical integral formula for weakly singular operator with logarithmic singularity is deduced and the convergence and error are presented. The nonradially symmetric solutions of the free boundary problem on a perturbed boundary are provided to test the accuracy and effectiveness of the numerical method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 345, 1 January 2019, Pages 434-451
Journal: Journal of Computational and Applied Mathematics - Volume 345, 1 January 2019, Pages 434-451
نویسندگان
Yarong Zhang, Yinnian He, Hongbin Chen,