How to formulate in academic writing when one comes up with a novel approach
It's not enough to just say that your approach is novel.  You need to make a convincing case that your approach is actually novel.  This requires a thorough literature review of existing techniques for the problem you are attacking, together with direct comparisons between your technique and each of those existing techniques.

The message you want to send is "I have read every paper on this topic, and none of them do this thing that I'm about to do."  The novice reader will just believe you, but the expert reader, who has probably spent decades thinking about your problem, will look for their favorite handful of papers in your survey.  Make sure they find them.

You also need to understand the standards for novelty in your field.  The same technique can be considered completely revolutionary in one field and a standard modification of classical textbook methods in another.  (Yes, both views can be correct.)

Of course, the real reason to prepare this literature review is to convince yourself that your approach is actually novel.  Because it probably isn't.  Most “novel” techniques aren't.