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In this paper, a harmonized multi-time difference scheme is established, which can be easily constructed on any numerical difference scheme of ordinary differential equations. A sufficiently stable condition is proved in mathematics. If the memorial coefficients determined by an improved method of least square, it is expected that this new scheme can integrate stably in a longer period, and a better result can be achieved.
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Keywords:
- harmonized multi-time difference scheme /
- stability /
- the least square
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