>anyone can suggest a similar method without memorising anything

Not possible, you have to memorize a few.
The more formulas you know, the faster you can solve the cube. But those are extras.
I memorized the least possible formulas and it took me about a minute on average.

http://en.wikipedia.org/wiki/Rubik's_Cube
http://en.wikipedia.org/wiki/Optimal_solutions_for_Rubik%27s_Cube
http://en.wikibooks.org/wiki/How_to_solve_the_Rubik%27s_Cube