  This study addressed the scalar field quasinormal ringing behavior of black
holes. We investigated scalar field perturbations in Bardeen black hole
spacetime in 5-dimensional Einstein-Gauss-Bonnet (EGB) gravity. Using the
3rd-order WKB approximation and the finite-difference method, we computed the
frequency of quasinormal modes (QNMs) in the spacetime background. The
calculations demonstrated that the real part of the QNMs $\omega$ increased,
whereas the imaginary part decreased with increase in the magnetic charge
parameter $Q$ of the Bardeen black hole for a fixed Gauss-Bonnet parameter
$\alpha$. This was also valid when $Q$ was fixed and $\alpha$ increased; where
in the real part of the QNMs increased and the absolute value of the imaginary
part decreased. However, the change in the latter case was more significant
than that in the former; thus, the frequency of eigenvibration of this black
hole background under the scalar field perturbation increased and the decay of
eigenvibration decreased with increase in $\alpha$ or $Q^2$. Moreover, this
result shows that the effect of $\alpha$ on the intrinsic vibration of this
black hole was greater than that of $Q $.Finally we found an interesting
phenomenon by comparing black holes in 4 and 5 dimensions. With higher
dimensions, the real part of the QNMs changes more obviously, but the imaginary
part of the QNMs is almost unchanged. This phenomenon also indicates that the
frequency of gravitational waves released by higher dimensional black holes
becomes larger, but the decay rate is almost constant.
