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Burden - Numerical Analysis 5e (PWS, 1993) Episode 3 Part 10

Tham khảo tài liệu 'burden - numerical analysis 5e (pws, 1993) episode 3 part 10', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 720 Answers to Selected Exercises EXERCISE SET 5-9 p.301 1. The Runge-Kutta for Systems Algorithm gives the results in the following tables ti wii b. w1 . W2f 0.0 -1.0000000 4.0000000 0.0 1.0000000 1.0000000 0.5 5.7864583 8.8203125 0.2 2.1203658 1.5069919 1.0 48.263658 50.104513 0 4 4.4412278 3.2422402 1.5 342.55321 343.67019 0.6 9.7391333 8.1634170 2.0 2400.7289 2401.4066 0.8 22.676560 21.343528 1.0 55.661181 56.030503 i w2 5 0.5 0.9567139 -1.083820 - 10 1.0 1.306544 -0.8329536 15 1.5 1-344167 -0.5098033 20 2.0 1.143324 -0.3693632 i Í wu w2i 3i 2 0.2 2.997466 0.03733361 0.7813973 5 0.5 2.963536 -0.2083733 0.3981578 7 0.7 2.905641 -0.3759597 0.1206261 10 1.0 2.749648 0.6690454 -0.3011653 i ti W1 v 2i w3i 2 0.2 r.381651 1.007999 -0.6183311 5 0.5 1.907526 1.124998 0.09090565 7 0.7 2.255029 1.342997 0.2634397 10 1.0 2.832112 1.999997 0.8821206 t wli w2i 0.1 4.6210619 -7.6818883 -1.7287952 0.2 7.1615826 -8.9381975 -0.9074132 0.3 11.261380 -11.282626 0.9731908 0.4 18.045437 -15.669345 4.8620475 0.5 29.508292 -23.861700 12.516816 0.6 49.209223 -39.106195 27.177722 0.7- 83.531779 -67.363422 54.798414 0.8 143.9Ó890 -119.55455 106.29239 0.9 251.27288 -215.65912 201.63071 1.0 . 442.99766 -392.18697 377.31385 Exercise Set 5-9 721 5. The Adams fourth-order predictor-corrector method for systems gives the results in the following tables a. i tị wỉỉ yơf b. ỉ tị W1 7 6 1 0.1 0.0000090 0.0000089 5 0.5 0.71544570 0.71544564 2 0.2 0.0001535 0.0001535 10 1.0 0.77153962 0.77154031 3 0.3 0.0008343 0.0008343 15 1.5 1.1204202 1.1204222 4 0.4 0.0028326 0.0028323 20 2.0 1.8134261 1.8134302 5 0.5 0.0074311 0.0074303 6 0.6 0.0165644 0.0165626 7 0.7 0.0330013 0.0329980 8 0.8 0.0605672 0.0605619 9 0.9 0.1044131 0.1044052 10 1.0 0.1713402 0.1713288 c. i ĨỊ wlf y ti d. i tị w1 - y 5 1.25 0.9405698 0.94056987 2 1.4 2.4535431 2.4540442 10 1.50 0.7779721 0.7779237 4 1.8 6 2364230 6.2365330 15 1.75 0 5425639 0.54256418 6 2.2 11.8583510 11.8587121 20 2.00 0.2725883 0.27258872 - 8 10 2.6 3.0 .