The rest of the paper is organized as follows. Section 2 represents the IBM formulation. In Section 3, the LBM is described. The linking between the IBM and LBM is given in Section 4. Section 5 deals with the boundary conditions for the two methods and describes their implementation method. The equations governing the mechanical properties of RBCs and their deformation in the blood flow are given in Section 6. Finally, the results are discussed in Section 7 to be followed by conclusions in Section 8.