Working Paper Article Version 1 This version is not peer-reviewed

Axial Diffusion of the Higher Order Scheme on the Numerical Simulation of Non-Steady Partial Differential Equation in the Human Pulmonary Capillaries

Version 1 : Received: 27 January 2020 / Approved: 28 January 2020 / Online: 28 January 2020 (09:14:07 CET)

How to cite: Aminataei, A.; Derakhshan, M. Axial Diffusion of the Higher Order Scheme on the Numerical Simulation of Non-Steady Partial Differential Equation in the Human Pulmonary Capillaries. Preprints 2020, 2020010335 Aminataei, A.; Derakhshan, M. Axial Diffusion of the Higher Order Scheme on the Numerical Simulation of Non-Steady Partial Differential Equation in the Human Pulmonary Capillaries. Preprints 2020, 2020010335

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 modelling 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.

Subject Areas

non-steady partial differential equation; higher order finite difference scheme; axial diffusion; convergence; consistency; stability

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