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4) Consider the two-stage RK method a. Yn+1 = Yn + h (bf (xn, Yn) + b2f (xn + Ch, Yn + A21hf (xn,
4) Consider the two-stage RK method a. Yn+1 = Yn + h (bf (xn, Yn) + b2f (xn + Ch, Yn + A21hf (xn, Yn))). Show that the truncation error is T = Tn 1 1 - hy" (xn) + hy''' (xn) bh[C2fx + A21fyf] 6 1 -bh | cxx + Cazfxyf + ay] + 0(h). 2 fyy b. If we choose C = 1, determine the Butcher table for the corresponding second order method.
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Advanced Engineering Mathematics
Authors: Erwin Kreyszig
10th edition
470458364, 470458365, 978-0470458365
