Dear Muhammad, you can have a look to the following presentation:

https://www.cs.cmu.edu/~ggordon/10725-F12/slides/09-acceleration.pdf

Hi,

I think the following paper may be interesting for you

https://arxiv.org/pdf/1506.08187.pdf

It describes a geometric alternative to the Nesterov's approach

Geometric alternatives of Nesterov's method also require the strongly convex of objective function. However, I think BB method may be a suitable alternative.

You can use conjugate gradient method or three term conjugate gradient method.