Discretization schemes Comparison for the Greenhouse Temperature Model

A greenhouse is a covered structure that protects the plants from extensive external environment and creates a suitable growth environment using precise control strategy. In this paper, we suggest a suitable discretization method for the greenhouse temperature model by comparing conventionally used methods Runge-Kutta 4 (RK4) and Euler method with other discretization methods which includes explicit and embedded methods. These methods are compared on the basis of computational time and mean absolute error (MAE) as the performance criteria. Different methods have different computational time based on the complexity of its calculations, and their accuracy depends on the order of the method that is in consideration. On comparing the different methods, it is found that the Euler method is more suitable for the same sampling time of data with least computational burden, whereas with increasing sampling time Heun's method gives much better results.