Particle Sliding on a Rough Turntable

Hello every body , any if you have codes or documents relaed to the question below , just to give me an idea and code to show the motion , if the code can I do it in the octave will be better .

The question is ;

Study the motion of a particle on a rough turntable rotating at constant rate and solve numerically the equations of motion Agha et. al. AJP 83, 126 (2015) .

and thank you so much for helping me , Im waiting your response .