  Within the mean field theory we extend the effective quasi-1D non-polynomial
Schr\"{o}dinger equation (NPSE) approach to the description of a spin-1 atomic
condensate in a tight radial confinement geometry for both weak and strong
atom-atom interactions. Detailed comparisons with full time dependent 3D
numerical simulations show excellent agreement as in the case of a single
component scalar condensate, demonstrating our result as an efficient and
effective tool for the understanding of spin-1 condensate dynamics observed in
several recent experiments.
