Shearlet frame applications in solving some 2-D numerical analysis problems

In numerical analysis specially in finding numerical solution for PDEs and integral equations, different basis functions are used. Frames have not been used in the mentioned methods, because of the lack of independency between their elements. In this paper, first we introduce a shearlet frame then we extract a finite basis from it.

Keywords:

Shearlet frame , Fredholm integral equations , collocation method.