a Derive the Adams Moulton three step Method using the interpolation polynomial in Newton s...

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a Derive the Adams Moulton three step Method using the interpolation polynomial in Newton s form with interpolation points t 1 t t 1 2 Hint You may refer to the value of integration of 1 f ds on lecture notes and note the fact that f t 1 y t 1 f ti 1 Yi 1 3f t y 3f ti 1 1 f ti 2 Yi 2 b Using the condition for the consistency and convergence of the multistep method show the method in a is consistent and at least order 2 i e you only need to verify j a lj 1b for l 1 2

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