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Original Message (ID '430123') By Jigoro:
In Response To 'Re: Re: Re: Strange NdSolve solution' --------- Thank you Bill very much, this helps a lot. I do notice that at these precisions, the command Abs[N[y[99]]-z[99]/.s[[1]]] would give a very large discrepancy still. This maybe the result that at such large values of t, the solution to the differential equation becomes highly non-linear, hence difficulty in approximation, but I am not sure. I tried to increase both the accuracy goal and working precision but the error is still too far from zero. I wonder how to make the error very small. Thanks.