Abstract: In a follow-up to our confirmation of the existence and
uniqueness of the solution to the “Sixth
problem of the millennium” in [4], in this paper, we derive a numerical
scheme to approximate that solution. The scheme is tested for convergence and
error stability before it is applied to a numerical example. In particular, the
scheme demonstrates the boundedness from above, of the approximated solution by
the initial velocity, The
error upper bound also shows a remarkable dependence on the choice of and Thus, we can reduce the error upper bound by choosing a large and a smaller
Keywords and phrases: numerical scheme, approximation, solution, Sixth problem of the millennium.
