The Hicksian consumer's surplus is defined by the income consumption function (Hurwicz and Uzawa, 1971, p.116) or the money-metric utility (Varian, 1992, pp.108-113). In the literature it is defined by differential equations; the partial differential equation in Hurwicz and Uzawa (1971) and the ordinary differential equation in Hausman (1981) and Vartia (1983). It is natural that the ordinary differential equation is the preferred one among the two differential equations for computating the money metric utility from the system of estimated market demand function with the integrability condition. McKenzie and Pearce (1976), Vartia (1983), Breslaw and Smith (1995), Hausman and Newey (1995) considered various numerical methods for the computaion of money metric utility. This paper compares and evaluates those algorithms in the economics literature with an algorithm more popular in the mathematics literature by the theoretical approximation orders and numerical relative errors from the exact solution. The algorithm suggested in this paper can be used for the computation of consumer's surplus as well as the cost-of-living index and dead weight loss.