Shadows and quasinormal modes of a charged non-commutative black hole by different methods

In this paper, we calculated the quasinormal modes (QNMs) of a charged non-commutative black hole in scalar, electromagnetic and gravitational fields by three methods. We gave influence parameter $\theta$ charge $Q$ on QNMs different fields. Thereafter, shadow radius provided valid range using constraints $\text{M87}^{\ast}$ $\text{Sgr A}^{\ast}$ from Event Horizon Telescope (EHT). addition, estimated ``relative deviation'' ($\delta_{R_{s}}$) between spacetime commutative spacetime. found that maximum values $\delta_{R_{s}}$ decreases with increase $Q$. other words, non-commutativity becomes harder to distinguish as increases.