论文标题
部分可观测时空混沌系统的无模型预测
Numerical convergence and stability analysis for a nonlinear mathematical model of prostate cancer
论文作者
论文摘要
本文的主要目标是提出一种有效的方法来解决前列腺肿瘤的非线性游离边界数学模型。该模型由两个抛物面，一个椭圆形和一个普通的微分方程组成，它们耦合在一起并描述前列腺肿瘤的生长。我们通过使用前固定方法来修复自由域，开始讨论。然后，在使用非经典有限差和对该模型的搭配方法进行了稳定性和收敛性后，可以通过分析证明。最后，一些数值结果被认为显示了上述方法的效率。
The main target of this paper is to present an efficient method to solve a nonlinear free boundary mathematical model of prostate tumor. This model consists of two parabolics, one elliptic and one ordinary differential equations that are coupled together and describe the growth of a prostate tumor. We start our discussion by using the front fixing method to fix the free domain. Then, after employing a nonclassical finite difference and the collocation methods on this model, their stability and convergence are proved analytically. Finally, some numerical results are considered to show the efficiency of the mentioned methods.
