Semi-analytical method for blood flow model with source terms

Abstract

This article discusses a semi-analytical method for solving modelling equations for blood flow through compliant vessels. He's method, also called the variational iteration method (VIM), is used to find an approach to a solution in an explicit form. The chosen problem has been handled by an asymptotic reduction of the associated incompressible Navier–Stokes equations, to obtain a one-dimensional nonlocal blood flow model with source terms. Numerical examples were chosen based on experimentally valued parameters and were used to highlight and illustrate the benefits of VIM. The results obtained from the blood flow model were compared to a numerical reference method.

Keywords

• VIM
• 1D blood model
• compliant vessels
• 35C99
• 65D99
• 76Z05