AN APPLICATION OF DAUBECHIES WAVELET IN DRUG RELEASE MODEL

Askari Hemmat, Ataollah; Kalateh Bojdi, Zahra; KEBRYAEE, Maryam

doi:10.22103/jmmrc.2019.13914.1091

AN APPLICATION OF DAUBECHIES WAVELET IN DRUG RELEASE MODEL

Document Type : Research Paper

Authors

Ataollah Askari Hemmat ¹

Zahra Kalateh Bojdi ²

Maryam KEBRYAEE ³

¹ Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonal University of Kerman, Kerman, Iran.

² DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE AND MODERN TECHNOLOGIES, GRADUATE UNIVERSITY OF ADVANCED TECHNOLOGY KERMAN, IRAN

³ DEPARTMENT OF MATHEMATICS, KERMAN SCIENCE AND RESEARCH BRANCH, ISLAMIC AZAD UNIVERSITY, KERMAN, IRAN

10.22103/jmmrc.2019.13914.1091

Abstract

In this paper we investigate wavelet-finite difference method for
solving two-dimensional model of drug release in the cardiovascular tissue from
the stent. We use a double tensor product to rich a two dimensional wavelet.
By using this two dimensional wavelet in space and finite difference method
for variable t we convert the drug release model to a system of equations. The
Lax-Richtmyer theorem shows that this system is convergent and we obtain a
good approximation for a solution of our problem.

Keywords

MRA

Daubechies wavelet

Drug release model

Stent