i want to study dispersion relation preserving scheme, and have read some paper about it, but i find it difficult to turn the theory to code, so is there someone could give me some code for guildline? or give me some code advices?

Check the paper of tam and webb,its journal of computation physics 1992,titled "Dispersion relation preserving schemes for computational aeroacoustics".They have discussed in detail the derivation of such schemes for both explicit spatial differencing and time marching.The scheme is very simple to the explicit central difference schemes.So it should be straight forward to implement.