Abstract
It is apparent that the finite difference approximation to the Laplacian obtained by Williamson, Hewlett & Tammemagi (1974) differs from that given by Jones R: Pascoe (1971). The difference is related to the manner in which first derivatives are approximated in the two cases. Jones & Pascoe assunzed a central diflerence form for first derivatives from the outset, whereas the method of Williamson et al. implies a linear cornhination of backward and forward differences for first derivatives. It is instructive to examine the two approaches in greater detail. Following Jones & Pascoe, Taylor's theorem may bc used to obtain the field values around the point '0' as: for the real part of the field values and similar equations for the imaginary part (a misplaced minus sign which appeared in the earlier paper has been correctly located above). Combining the equations for f1 and f3 gives:
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