mws_civ_int_txt_simpson13_examples

mws_civ_int_txt_simpson13_examples - Chapter 07.03 Simpsons...

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07.03.1 Chapter 07.03 Simpson’s 1/3 Rule for Integration-More Examples Civil Engineering Example 1 The concentration of benzene at a critical location is given by      758 . 5 6560 . 0 75 . 1 73 . 32 erfc e erfc c where  dz e x erfc x z 2 So in the above formula  dz e erfc z 6560 . 0 2 6560 . 0 Since 2 z e decays rapidly as z , we will approximate  6560 . 0 5 2 6560 . 0 dz e erfc z a) Use Simpson’s 1/3 Rule to find the value of   6560 . 0 erfc . b) Find the true error, t E , for part (a). c) Find the absolute relative true error for part (a). Solution a)    b f b a f a f a b erfc 2 4 6 6560 . 0 5 a 6560 . 0 b 8280 . 2 2 b a  2 z e z f  2 5 5 e f 11 10 3888 . 1  2 6560 . 0 6560 . 0 e f 65029 . 0
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07.03.2 Chapter 07.02  2 8280 . 2 8280 . 2 e f 4 10 3627 . 3    b f b a f a f a b erfc 2 4 6 6560 . 0       6560
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mws_civ_int_txt_simpson13_examples - Chapter 07.03 Simpsons...

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