hw10_p01_answer - 117.21289 0.20000 63.80392 63.56280...

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Problem 1. problem 27.6, Chapra & Canale 5th Ed. p779, BVP with a shooting method Initial guesses affect the number of iterations needed to meet the tolerance. An example is h = 0.05000 Tolerance = 0.0000100 y( 0.00000)= 200.00000, y( 0.50000)= 100.00000 1 st guess = -1000.00000, 2 nd guess = -1001.00000 x Y1(x) iter 1 2 3 4 5 6 7 8 0.00000 200.00000 200.00000 200.00000 200.00000 200.00000 200.00000 200.00000 200.00000 0.05000 155.66383 155.61299 164.84471 163.68444 163.82781 163.83072 163.83072 163.83072 0.10000 119.95956 119.85349 139.14131 136.71412 137.01399 137.02008 137.02006 137.02006 0.15000 89.98993 89.82119 120.60967 116.72321 117.20318 117.21292 117.21289
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Unformatted text preview: 117.21289 0.20000 63.80392 63.56280 107.82760 102.20887 102.90225 102.91633 102.91629 102.91629 0.25000 39.99980 39.67470 99.91208 92.19992 93.15055 93.16985 93.16980 93.16980 0.30000 17.51249 17.09023 96.35364 86.08084 87.34496 87.37063 87.37056 87.37056 0.35000 -4.50731 -5.04127 96.93212 83.49587 85.14534 85.17886 85.17876 85.17876 0.40000 -26.76485 -27.42612 101.68296 84.29925 86.42641 86.46965 86.46953 86.46953 0.45000 -49.86501 -50.67001 110.90251 88.53600 91.26090 91.31633 91.31617 91.31617 0.50000 -74.33950 -75.30516 125.19419 96.44782 99.92933 100.00020 100.00000 100.00000...
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This note was uploaded on 02/22/2010 for the course CHE 348 taught by Professor Chelikowsky during the Spring '08 term at University of Texas at Austin.

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