You have to find finite difference schemes for equation (1) and (3) in 3rd page of the attached file and then have to develop a matlab program which can calculate the position of camphor boats at different times. You must have to find the required constants by googling or using other sources.
Then u have to show the movement of camphor boats as a movie using a matlab program.
then u have to find fundamental diagram in Fig. 3. using a matlab program.
You also have to do some other things related to these article which I will provide after awarding.
If you have any other questions please PM.