The closest we have is a Speedsolving Wiki article, but please, PLEASE post them in the new Methods thread first so that the community can see
If your methods are worth an article
If your methods have been proposed before.
I’m far more familiar with US intellectual property law than India’s like process, but there’s about a dozen things in the US system (which I imagine is similar) that would prevent you from being granted or enforcing a patent for this. Suffice to say that a solving process for a puzzle created and patented by another individual/cooperation most definitely does not qualify as intellectual property. Feel free to check out this article about how to file a patent in India (I am unable to vouch for its legitimacy) though.
A greater question is why would you want to patent it. Patents are usually used to protect profits when selling something, so other people cannot also sell your invention. With a speedcubing method, there is nothing to sell, no profit to be had. So there is no profit to protect by a patent.
I did a bit of research, and found out that if you want to patent something in the future, assuming you stay in the same place where you currently live, you have to follow these laws:
Lall & Sethi, as an organization of professionals, is passionately dedicated to the IP laws including trade-marks, copyrights, designs, patents, confidential information & trade secrets, entertainment and sports laws, information technology laws
a mathematical or business method or a computer programme per se or algorithms;
a mere scheme or rule or method of performing mental act or method of playing game