The　dynamical　structure　factor　has　been　reported　for　three　dimensional　strongly　coupled　Yukawa　liquids　(SCYLs)　through　state-of-the-art　equilibrium　molecular　dynamics　(EMD)　simulations　in　a　microcanonical　ensemble　(NVE).　The　effects　of　varying　wave　vectors　(k　=　2　pi/L)　have　been　computed　along　with　different　arrangements　of　Coulomb　coupling　(Gamma)　and　the　Debye　screening　parameter　(kappa)　on　the　dynamical　structure-factor　S(k,　omega)　using　EMD　simulations.　Our　new　investigations　of　S(k,　omega)　show　that　the　amplitude　of　oscillation　decreases　and　the　frequency　increases　with　increasing　Gamma,　respectively,　for　the　SCYLs.　Our　simulations　show　that　the　decreasing　behavior　is　noted　for　the　frequency　of　plasma　S(k,　omega)　with　increasing　kappa　and　system　size　(N).　The　obtained　EMD　results　are　found　to　be　more　efficient　and　accurate　than　that　of　various　previous　simulation　data,　and　the　present　EMD　approach　gives　more　satisfactory　results　with　appropriate　system　sizes　at　high　values　of　k,　for　a　wide　range　of　plasma　states　(Gamma,　kappa).　It　has　been　shown　that　the　present　density　S(k,　omega)　of　SCYLs　fluctuates　more　at　intermediate　to　high　Coulomb　couplings　(average　to　lower　system　temperature　1/Gamma)　and　low　values　of　Debye　screening;　however,　it　less　fluctuates　at　higher　N　and　kappa.　Published　under　license　by　AIP　Publishing.