Stability analysis and numerical simulation of non-steady partial differential model in the human pulmonary capillaries using finite differences technique

Authors : Azim Amiataei, Mohammadhossein Derakhshan

Pages : 1658-1676

Doi:10.15672/hujms.1095502

View : 140 | Download : 169

Publication Date : 2023-11-03

Article Type : Research Paper

Abstract :In the present study, a mathematical model of non-steady partial differential equation from the process of oxygen mass transport in the human pulmonary circulation is proposed. Mathematical modeling of this kind of problems lead to a non-steady partial differential equation and for its numerical simulation, we have used finite differences. The aim of the process is the exact numerical analysis of the study, wherein consistency, stability and convergence is proposed. The necessity of doing the process is that, we would like to increase the order of numerical solution to a higher order scheme. An increment in the order of numerical solution makes the numerical simulation more accurate, also makes the numerical simulation being more complicated. In addition, the process of numerical analysis of the study in this order of solution needs more research work.
Keywords : Non steady partial differential equation, Higher order finite difference scheme, Axial diffusion, Convergence, Consistency, Stability