Abstract: The finite analytic method (FA) developed in the last decade is an effective numerical method for solving fluid flow problems.However, because of the limitation in the present computer, large round-off errors are found in calculating FA coefficients when Reynolds number is large.This paper investigates the cause of this difficulty and presents a special programming technique in making an accurate computation of FA coefficients.Then a fundamental function known as "P_e" is tabulated by the accurate computation.In practical application the interpolation technique is employed so that the FA coefficients can be obtained reliably and quickly.