2 Three step Adams Bashforth method Consider the interpolation nodes ti 2 ti 1 ti...
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2 Three step Adams Bashforth method Consider the interpolation nodes ti 2 ti 1 ti where t t j jh a Write down the Lagrange interpolation polynomial P t for the function f t y t at the nodes above b Consider the IVP y t f t y t integrate the Lagrange polynomial P t from a exactly to determine bi b and by such that Yi 1 yih b f t y b f t 1 1 b3f t 2 Y 2 As usual y denotes the value of y t at t tk Your answers b should be given as fractions Hint you may note for b we have f L t dt 2h evaluate the integral and do the same for b2 b hb t ti 1 t ti 2 dt
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