tugas numerik 1

3
Nama : Jalu Purba Wijaya No. Mhs. : 710011112 B1 3x+4y+5z =6 7x+8y+9z =10 11x+12y+13z =14 Perhitungan dengan Metode Jacobi Itera si x y z Ex (%) Ey (%) Ez (%) 1 0.000 0.000 0.000 - - - 2 2.000 1.250 1.077 100.00 0 100.00 0 100.00 0 3 -1.462 -1.712 -1.769 236.84 2 173.03 4 160.87 0 4 7.231 4.519 3.893 120.21 3 137.87 2 145.44 1 5 -10.515 -9.457 -9.213 168.76 8 147.78 7 142.26 1 6 29.964 20.815 18.704 135.09 1 145.43 4 149.25 8 7 -56.926 -46.011 -43.492 152.63 7 145.24 0 143.00 5 8 135.833 99.989 91.717 141.90 9 146.01 6 147.42 0 9 -284.179 -220.785 -206.156 147.79 9 145.28 8 144.48 9 10 639.974 481.832 445.338 144.40 5 145.82 2 146.29 2 11 -1382.673 -1059.733 -985.208 146.28 5 145.46 7 145.20 2 12 3056.990 2319.448 2149.246 145.23 0 145.68 9 145.84 0 13 -6672.673 -5091.518 -4726.636 145.81 4 145.55 5 145.47 1 14 14668.416 11157.304 10347.048 145.49 0 145.63 4 145.68 1

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tugas Mata kuliah numerik 1

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Page 1: tugas numerik 1

Nama : Jalu Purba Wijaya No. Mhs.: 710011112 B1

3x+4y+5z =67x+8y+9z =10

11x+12y+13z =14

Perhitungan dengan Metode Jacobi

Iterasi x y z Ex (%) Ey (%) Ez (%)1 0.000 0.000 0.000 - - -

2 2.000 1.250 1.077 100.000 100.000 100.000

3 -1.462 -1.712 -1.769 236.842 173.034 160.8704 7.231 4.519 3.893 120.213 137.872 145.4415 -10.515 -9.457 -9.213 168.768 147.787 142.2616 29.964 20.815 18.704 135.091 145.434 149.2587 -56.926 -46.011 -43.492 152.637 145.240 143.0058 135.833 99.989 91.717 141.909 146.016 147.4209 -284.179 -220.785 -206.156 147.799 145.288 144.48910 639.974 481.832 445.338 144.405 145.822 146.29211 -1382.673 -1059.733 -985.208 146.285 145.467 145.20212 3056.990 2319.448 2149.246 145.230 145.689 145.84013 -6672.673 -5091.518 -4726.636 145.814 145.555 145.47114 14668.416 11157.304 10347.048 145.490 145.634 145.68115 -32119.485 -24474.043 -22709.710 145.668 145.588 145.56216 70483.573 53654.223 49770.527 145.570 145.614 145.62917 -154487.842 -117663.719 -109165.845 145.624 145.600 145.59218 338830.033 257989.687 239334.222 145.594 145.608 145.61219 -742874.619 -565726.029 -524845.585 145.611 145.603 145.60120 1629046.014 1240467.825 1150795.935 145.602 145.606 145.60721 -3571948.326 -2720059.440 -2523469.697 145.607 145.604 145.60422 7832530.747 5964359.444 5533242.989 145.604 145.605 145.60623 -17174548.906 -13078361.516 -12133087.503 145.605 145.605 145.60524 37659629.861 28677454.984 26604645.398 145.605 145.605 145.60525 -82577680.309 -62882400.951 -58337336.483 145.605 145.605 145.605

Nama : Reza Nuriana No. Mhs.: 710011104 B1

Page 2: tugas numerik 1

3x+4y+5z =67x+8y+9z =10

11x+12y+13z =14

Perhitungan dengan Metode Gauss Saidel

Iterasi x y z Ex (%) Ey (%) Ez (%)1 0.000 0.000 0.000 - - -

2 2.000 -0.500 -0.154 100.000 100.000 100.000

3 2.923 -1.135 -0.349 31.579 55.932 55.932

4 4.095 -1.940 -0.597 28.613 41.517 41.517

5 5.582 -2.962 -0.912 26.641 34.510 34.510

6 7.469 -4.260 -1.311 25.269 30.460 30.460

7 9.865 -5.907 -1.818 24.284 27.881 27.881

8 12.905 -7.997 -2.461 23.560 26.138 26.138

9 16.764 -10.650 -3.277 23.020 24.911 24.911

10 21.662 -14.018 -4.313 22.611 24.022 24.022

11 27.879 -18.292 -5.628 22.299 23.366 23.366

12 35.769 -23.716 -7.297 22.059 22.873 22.873

13 45.784 -30.602 -9.416 21.874 22.499 22.499

14 58.495 -39.341 -12.105 21.730 22.213 22.213

15 74.629 -50.432 -15.518 21.618 21.993 21.993

16 95.106 -64.510 -19.849 21.531 21.823 21.823

17 121.096 -82.378 -25.347 21.462 21.690 21.690

18 154.083 -105.057 -32.325 21.409 21.587 21.587

19 195.951 -133.842 -41.182 21.367 21.506 21.506

20 249.092 -170.376 -52.423 21.334 21.443 21.443

21 316.540 -216.746 -66.691 21.308 21.394 21.394

22 402.147 -275.601 -84.800 21.287 21.355 21.355

23 510.802 -350.301 -107.785 21.271 21.325 21.325

24 648.710 -445.113 -136.958 21.259 21.301 21.301

25 823.748 -565.452 -173.985 21.249 21.282 21.282