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Auxiliary linear multistep methods: implicit |
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| Abstract: | A class of stable implicit 2-step methods of high order for the solution of ordinary differential equations have been developed. The methods use slopes at some auxiliary points within a step. The methods with more number of auxiliary points have shown better stability characteristics. The efficiency of these methods has been established by comparing numerical results with those of 4-step Adams predictor-corrector method and 2-step Butcher's hybrid method. |
| Keywords: | Ordinary differential equations initial value problems multistep methods hybrid methods numerical algorithms zero-stability absolute stability order and accuracy numerical experiments |