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In this study, we suggest a collocation method to solve a class of the nonline ar differential equations under the mixed conditions in terms of the Bessel polyn omials. The method is based on the matrix forms of the Bessel polynomials and their derivativ es by means of collocation points. To illustrate the usefulness of this technique we apply it to some te st problems and the comparisons are made with existing results. The results show the efficie ntly and accuracy of the present work. All of the numerical computations have been perfor med on computer using a program written in Maple.

On the solutions of a class of nonlinear ordinary differential equations by the Bessel polynomials