There is a defrost heater in the freezer section that should cycle on and melt the frost that has accumulated. When the ice builds up as you describe the problem can be with the defrost timer, defrost element or defrost thermostat.
To determine the cause of the problem I'd suggest you remove the toe panel from the bottom of the refrigerator and locate the defrost timer. The timer will be mounted to a bracket so you may only see the round knob of the timer.
The round knob can be turned clockwise. A flat edge screwdriver can be used or a coin can be used to turn the round knob. Turn it slowly and at some point you will notice a click and the refrigerator will stop running. It is now in defrost. Give it a couple of minutes then open the freezer door and see if you hear any popping or sizzling as the heater melts the ice.
If you hear nothing then it is likely the defrost heater or thermostat is bad. I'd suggest replacing both to solve this problem.
If you hear a sizzle and popping noise then the heater is working.
After 20-30 minutes the defrost timer should advance out of defrost and start the refrigerator running again. If it doesn't then the likely problem is a bad defrost timer.
If you defrosted the coils and got the ice off of them, then they froze over again after replacing the defrost board, your next likely problem is low refrigerant. The same thing will happen on a home refrigerated air conditioner system.