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In this paper, we develop the extended cubic B-spline method for solving a system of nonlinear second-order boundary value problems. A quasilinearization approach is used and the error estimate is obtained. The accuracy of the method depends on two free parameters. We apply the method on four examples and the results which obtained using extended cubic B-spline indicate that the method is efficient and accurate.

Extended cubic B-spline method for solving a system of non-linear second-order boundary value problems