药物释放型冠状动脉支架的显式光谱搭配方法

IF 1.6 3区数学 Q1 MATHEMATICS

Mathematical Modelling and Analysis Pub Date : 2022-08-12 DOI:10.3846/mma.2022.15066

Somayeh Fakhri, S. H. Momeni-Masuleh

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引用次数: 1

摘要

本研究旨在解决药物结合饱和可逆的心血管支架药物释放的一维综合模型。空间维度采用拉格朗日配点法，时间离散采用改进的欧拉方法。给出了解的存在唯一性。给出了该方案的一致性、稳定性和收敛性分析，证明了数值模拟的有效性。采用较少的网格，计算结果准确、高效。

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An Explicit spectral collocation method for the drug Release coronary Stents

This research aims to solve a comprehensive one-dimensional model of drug release from cardiovascular stents in which the drug binding is saturable and reversible. We used the Lagrange collocation method for space dimension and the modified Euler method for time discretization. The existence and uniqueness of the solution, are provided. The consistency, stability, and convergence analysis of the proposed scheme are provided, to show that numerical simulations are valid. Numerical results accurate enough and efficient just by using fewer mesh.

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