Scholarlink

Abstract <p>In this work, we utilize a sum of exponentials approach for the approximation of the Caputo fractional derivative in application to the one-dimensional coronary blood flow model. Numerical experiments were carried out to compare the computational efficiency of the utilized approach with the conventional L1-approximation of fractional derivative in zero-dimensional and one-dimensional models settings. It was shown that the sum of exponentials approach allows to obtain a noticeable speedup in computing fractional flow reserve in coronary vessels network up to 7 times compared to the approach with the L1-approximation, with the difference of computed values being negligibly small.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Sum of Exponentials Approach for the Fractional Derivative Discretization in a Coronary Blood Flow Model

  • 期刊论文

  • 发表日期：

    2025年1月1日

查看全文
  • R. Yanbarisov,
  • T. Gamilov

摘要

Abstract

In this work, we utilize a sum of exponentials approach for the approximation of the Caputo fractional derivative in application to the one-dimensional coronary blood flow model. Numerical experiments were carried out to compare the computational efficiency of the utilized approach with the conventional L1-approximation of fractional derivative in zero-dimensional and one-dimensional models settings. It was shown that the sum of exponentials approach allows to obtain a noticeable speedup in computing fractional flow reserve in coronary vessels network up to 7 times compared to the approach with the L1-approximation, with the difference of computed values being negligibly small.