Exponentially-fitted Obrechkoff methods for second-order differential equations
2009
We develop two-step exponentially-fitted Obrechkoff methods. The combination of exponential fitting and methods of Obrechkoff type is discussed here for the first time. We shall construct such methods of different orders and study their linear stability along the line of the Coleman/Ixaru definition. Some numerical results are introduced to show the applicability of such methods.
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