We solve the LO DGLAP QCD evolution equation for truncated Mellin moments of the nucleon nonsinglet structure function. The results are compared with those, obtained in the Chebyshev-polynomial approach for x-space solutions. Computations are performed for a wide range of the truncation point 10^-5\leq x₀\leq 0.9 and 1\leq Q²\leq 100 {GeV}². The agreement is perfect for higher moments (n\geq 2) and not too large x₀ (x₀\leq 0.1), even for a small number of terms in the truncated series (M=4). The accuracy of the truncated moments method increases for larger M and decreases very slowly with increasing Q². For M=30 the relative error in a case of the first moment at x₀\leq 0.1 and Q²=10 {GeV}² does not exceed 5\% independently on the shape of the input parametrisation. This is a quite satisfactory result. Using the truncated moments approach one can avoid uncertainties from the unmeasurable x\rightarrow 0 region and also study scaling violations without making any assumption on the shape of input parametrisation of parton distributions. Therefore the method of truncated moments seems to be a useful tool in further QCD analyses.

PACS numbers: 12.38.Bx