کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6892006 1445346 2018 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Application of fixed point-collocation method for solving an optimal control problem of a parabolic-hyperbolic free boundary problem modeling the growth of tumor with drug application
ترجمه فارسی عنوان
کاربرد روش جابجایی نقطه ثابت برای حل یک مشکل کنترل بهینه از یک مسئله مرزی ناشی از پارابولیک-هیپربولیک، مدلسازی رشد تومور با استفاده از دارو
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی
In this paper, employing a fixed point-collocation method, we solve an optimal control problem for a model of tumor growth with drug application. This model is a free boundary problem and consists of five time-dependent partial differential equations including three different first-order hyperbolic equations describing the evolution of cells and two second-order parabolic equations describing the diffusion of nutrient and drug concentration. In the mentioned optimal control problem, the concentration of nutrient and drug is controlled using some control variables in order to destroy the tumor cells. In this study, applying the fixed point method, we construct a sequence converging to the solution of the optimal control problem. In each step of the fixed point iteration, the problem changes to a linear one and the parabolic equations are solved using the collocation method. The stability of the method is also proved. Some examples are considered to illustrate the efficiency of method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 75, Issue 7, 1 April 2018, Pages 2193-2216
نویسندگان
, ,