With practise this really isn't that difficult.

Start 2-3 like normal, but when the first platform is returning, jump onto it, and jump while on the edge, only when the platform stops. Only start holding right while almost at te hightest point of your jump and mash the jump button. You only have a few frames you can wall jump so you'll really have to mash.

That's Bassicaly it, with some practise you're succes rate cn go above 80% since it really ain't difficult.