“Differential equations on topologically complicated domains” is a relatively new branch in the theory of differential equations. Some of the examples include differential equations on manifolds or irregularly shaped domains and differential equations on network-like structure. Differential equations on manifolds arise in the areas of mathematical physics, fluid dynamics, image processing, medical imaging etc. Differential equations on network-like structure also play a fundamental role in many problems in science and engineering. The aim of this talk is to show how wavelets could be extended to networks to solve partial differential equations on network – like structures using spectral graph wavelet.