AN EXPLICIT SPECTRAL COLLOCATION METHOD FOR THE DRUG RELEASE CORONARY STENTS

Somayeh Fakhri | Sayed Hodjatollah Momeni-Masuleh

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URL :   http://research.shahed.ac.ir/wsr/webpages/Report/PaperView.aspx?PaperID=169681
Date :  2022/08/12
Publish in :     Mathematical Modelling and Analysis
DOI :  https://doi.org/https://doi.org/10.3846/mma.2022.15066
Link :  http://dx.doi.org/https://doi.org/10.3846/mma.2022.15066
Keywords :spectral collocation method, explicit method, modied Euler method, stent, drug release.

Abstract :

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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 modied 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 ecient just by using fewer mesh.