Journal of Emerging Trends in Engineering and Applied Sciences: Research Areas

Abstract:
This paper examines the conversion problem of five radioactive materials, the relationship and the effects of various radioactive parameters (decay constant and mean lifetime) on radioactive processes were also presented. A system of five coupled ordinary differential equations was obtained. The method of Variational Iteration Method and Homotopy Perturbation Method were applied to obtain the exact solutions to the system of coupled differential equations. The methods reduce the size of computations and do not require large computer resources and discretization of the variables. The effectiveness and accuracy of the methods were achieved as the results obtained rapidly converge after few numbers of iterations. The results obtained show that the mean life time of the radioactive materials decreases with time while the decay constant of the radioactive materials increases with time, also it was observed that, the higher the decay constant of a radioactive material, the faster the rate of conversion.

Keywords: variational iteration method, homotopy perturbation method, radioactive, decay, conversion

Download full paper