Semi-analytical method for blood flow model with source terms

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