This paper presents a study on the development and implementation of a\nsecond derivative method for the solution of stiff first order initial value\nproblems of ordinary differential equations using method of interpolation and\ncollocation of polynomial approximate solution. The results of this paper\nbring some useful information. The constructed methods are A-stable up to\norder 8. As it is shown in the numerical examples, the new methods are superior\nfor stiff systems.
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