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mws_che_int_txt_romberg_examples

mws_che_int_txt_romberg_examples - 07.04 Romberg Rule for...

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07.04.1 07.04 Romberg Rule for Integration-More Examples Chemical Engineering Example 1 In an attempt to understand the mechanism of the depolarization process in a fuel cell, an electro-kinetic model for mixed oxygen-methanol current on platinum was developed in the laboratory at FAMU. A very simplified model of the reaction developed suggests a functional relation in an integral form. To find the time required for 50 % of the oxygen to be consumed, the time,   s T is given by dx x x T 6 6 10 61 . 0 10 22 . 1 11 7 10 316 . 2 10 3025 . 4 73 . 6 Table 1 Values obtained using multiple-segment Trapezoidal rule. n Value 1 191190 2 190420 3 190260 4 190200 a) Use Romberg’s rule to find the time required for 50 % of the oxygen to be consumed. Use the 2-segment and 4-segment Trapezoidal rule results given in Table 1. b) Find the true error, t E , for part (a). c) Find the absolute relative true error, t , for part (a).
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