On a moving boundary problem associated with a mathematical model of breast cancer
Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CMDE-12-1_005
تاریخ نمایه سازی: 4 آذر 1402
Abstract:
This paper is associated with a nonlinear parabolic moving boundary problem raised from the mathematical modeling of the behavior of the breast avascular cancer tumors at their first stage. This model is a modification of the previous works. Using the weak form of the proposed problem, the uniqueness of the solution is proved. Based on the finite difference method, a variable time step approach is proposed to solve the problem, numerically. It is shown that the numerical approach preserves the positivity of the solution and is unconditionally stable. To show the robustness and ability of the numerical method, the numerical and exact solutions are discussed and compared for two examples with the exact solutions.
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Authors
Behnam Amini Sefidab
Department of Mathematics, Payame Noor University (PNU), P. O. Box: ۱۹۳۹۵-۴۶۹۷, Tehran, Iran.
Parastoo Reihani
Department of Mathematics, Payame Noor University (PNU), P. O. Box: ۱۹۳۹۵-۴۶۹۷, Tehran, Iran.