Numerical Solution Of Drug Diffusion Model Using The Classic Runge Kutta Method

This research investigates the workability approach of the Fourth-order Runge-Kutta method (RK4), to tackle the drug diffusion in the twocompartment model which are the blood and Gastrointestinal tract (GI tract). The theoretical importance of the system of first-order ODEs is considered with initial conditions which served as the drug diffusion into the human body model. The exact solution was calculated using a matrix form of eigenvalues and eigenvectors. The ordinary differential equations describing the problem are solved by the RK4 method on PYTHON. Graphs plots and tables of absolute error analyses are used to show the efficiency of the RK4 method. Our results and finding revealed that RK4 results have approximately the same as exact solution. The analysis of computational error obtained is carried out. At every stage, the numerical result obtained is compared with that of exact solution. The result is also compared with some related result in literature and there is excellent agreement