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order4dWe can solve a second order differential equation of the type: d 2 ydx 2 + P(x) dydx + Q(x)y = f(x). where P(x), Q(x) and f(x) are functions of x, by using: Undetermined Coefficients which onlyThe aim of this paper is to investate a reduced-order approach for four-dimensional variational data assimilation (4D-Var), with an illustration in the context of ocean