Mathematical and numerical study of the concentration effect of red cells in blood

International audienc

Semi-analytical method for blood flow model with source terms

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

Frictional self-contact problem of elastic rods

International audienc

Modified Adomian Decomposition Method to Solve Generalized Emden–Fowler Systems for Singular IVP

An adeptness modified Adomian decomposition method (MADM) is proposed to solve a generalized system of Emden–Fowler type. By a few examples, it is shown that this method can overcome a singular initial value problem