The common methods for the computational solution of radiative transport equations are summarized briefly below:

1. The discrete ordinate method 

2. The Monte-Carlo method 

3. Hottel's zonal method 

4. The integral-equation methods 

Your task in this case study is to review these methods, apply them to a simple problem, and perform a comparative study of these methods. The case of two gray plates facing each other is a classical and well-studied problem, and you may wish to apply your computational skills to this problem. The diffusion approximation discussed in the text provides a simpler approach, and you may wish to examine the range of validity of this method as well.