A new one-step block method with generalized three hybrid points for solving initial value problems of second-order ordinary differential equations directly is proposed. In deriving this method, a power series approximate function is interpolated at while its second and third derivatives are collocated at all points in the given interval. The proposed method is then tested on initial value problems of second-order ordinary differential equations solved by other methods previously. The numerical results confirm the superiority of the new method to the existing methods in terms of accuracy.
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Publication date: July 2017 Source: European Journal of Cancer, Volume 79 Author(s): Simon Pernot, Cecile Badoual, Magali Terme, Florence...
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