Very good, kalinka. I have touched your version up a bit:

A special program was developed to run the numerical experiments with our model. The XX method was used to integrate a system of equations. The maximum size of the processed image is limited only by the integration time. So, for example, a YY processor can process a [1024 x 768] pixel image in approximately ZZ minutes. However, at this stage of the research our goal was not fast processing speed. Optimizing the program code and using different integration algorithms would speed up the image processing.