Spline finite difference for solution of a mathematical model in the initiation angiogenesis
محل انتشار: چهارمین کنفرانس آموزش و کاربرد ریاضیات
سال انتشار: 1401
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 77
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شناسه ملی سند علمی:
MATH04_107
تاریخ نمایه سازی: 8 مرداد 1402
چکیده مقاله:
The Numerov-spline method is proposed for a mathematical model of the endothelial, pericyte and macrophage cell's roles in the initiation of tumor angiogenesis with initial-boundary values. The two time-level explicit method based on the cubic spline is developed for the solution of the problem. The cubic spline for approximating the second order derivative in a space variable x and finite difference for time variable t has been used. Stability of the proposed method has been analysed. Finally figures of endothelial, Pericyte and macrophage cells in the capillaries are presented. Numerical results are given to examine the accuracy and efficiency of the proposed method.
کلیدواژه ها:
نویسندگان
M Aghamohamadi
Applied Science Center, Iran Frameco.un,Tehrandasht, Alborz,Iran
J Rashidinia
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran , Iran