15-May-2025 06:21:56 gauss_seidel_poisson_1d_test(): MATLAB/Octave version 6.4.0 Test gauss_seidel_poisson_1d(). 15-May-2025 06:21:56 GAUSS_SEIDEL_POISSON_1D: MATLAB/Octave version 6.4.0 Use Gauss-Seidel iteration for the 1D Poisson equation. Step Residual Change 1 4.512 0.001102 2 4.381 0.00107 3 4.287 0.001047 4 4.211 0.001028 5 4.147 0.001012 6 4.089 0.0009984 7 4.038 0.0009858 8 3.99 0.0009742 9 3.946 0.0009635 10 3.905 0.0009534 11 3.867 0.000944 12 3.83 0.0009351 13 3.796 0.0009266 14 3.762 0.0009186 15 3.731 0.0009109 16 3.701 0.0009035 17 3.671 0.0008963 18 3.643 0.0008895 19 3.616 0.0008829 20 3.59 0.0008765 21 3.565 0.0008703 22 3.54 0.0008643 23 3.516 0.0008585 24 3.493 0.0008528 25 3.471 0.0008473 26 3.449 0.0008419 27 3.427 0.0008367 28 3.406 0.0008316 29 3.386 0.0008266 30 3.366 0.0008217 31 3.346 0.000817 32 3.327 0.0008123 33 3.308 0.0008077 34 3.29 0.0008033 35 3.272 0.0007989 36 3.255 0.0007946 37 3.237 0.0007903 38 3.22 0.0007862 39 3.204 0.0007821 40 3.187 0.0007781 41 3.171 0.0007742 42 3.155 0.0007704 43 3.14 0.0007666 44 3.124 0.0007628 45 3.109 0.0007591 46 3.095 0.0007555 47 3.08 0.000752 48 3.066 0.0007484 49 3.051 0.000745 50 3.037 0.0007416 51 3.024 0.0007382 52 3.01 0.0007349 53 2.997 0.0007316 54 2.983 0.0007284 55 2.97 0.0007252 56 2.958 0.0007221 57 2.945 0.000719 58 2.932 0.0007159 59 2.92 0.0007129 60 2.908 0.0007099 61 2.896 0.0007069 62 2.884 0.000704 63 2.872 0.0007011 64 2.86 0.0006983 65 2.849 0.0006955 66 2.837 0.0006927 67 2.826 0.0006899 68 2.815 0.0006872 69 2.804 0.0006845 70 2.793 0.0006818 71 2.782 0.0006792 72 2.771 0.0006766 73 2.761 0.000674 74 2.75 0.0006714 75 2.74 0.0006689 76 2.73 0.0006664 77 2.719 0.0006639 78 2.709 0.0006615 79 2.699 0.000659 80 2.689 0.0006566 81 2.68 0.0006542 82 2.67 0.0006518 83 2.66 0.0006495 84 2.651 0.0006472 85 2.641 0.0006449 86 2.632 0.0006426 87 2.623 0.0006403 88 2.614 0.0006381 89 2.604 0.0006359 90 2.595 0.0006337 91 2.586 0.0006315 92 2.578 0.0006293 93 2.569 0.0006271 94 2.56 0.000625 95 2.551 0.0006229 96 2.543 0.0006208 97 2.534 0.0006187 98 2.526 0.0006167 99 2.517 0.0006146 100 2.509 0.0006126 101 2.501 0.0006105 102 2.493 0.0006085 103 2.484 0.0006066 104 2.476 0.0006046 105 2.468 0.0006026 106 2.46 0.0006007 107 2.452 0.0005987 108 2.445 0.0005968 109 2.437 0.0005949 110 2.429 0.000593 111 2.421 0.0005912 112 2.414 0.0005893 113 2.406 0.0005874 114 2.399 0.0005856 115 2.391 0.0005838 116 2.384 0.000582 117 2.376 0.0005802 118 2.369 0.0005784 119 2.362 0.0005766 120 2.354 0.0005748 121 2.347 0.0005731 122 2.34 0.0005713 123 2.333 0.0005696 124 2.326 0.0005679 125 2.319 0.0005662 126 2.312 0.0005645 127 2.305 0.0005628 128 2.298 0.0005611 129 2.291 0.0005594 130 2.285 0.0005578 131 2.278 0.0005561 132 2.271 0.0005545 133 2.264 0.0005528 134 2.258 0.0005512 135 2.251 0.0005496 136 2.245 0.000548 137 2.238 0.0005464 138 2.232 0.0005448 139 2.225 0.0005433 140 2.219 0.0005417 141 2.212 0.0005401 142 2.206 0.0005386 143 2.2 0.000537 144 2.193 0.0005355 145 2.187 0.000534 146 2.181 0.0005325 147 2.175 0.0005309 148 2.169 0.0005294 149 2.162 0.000528 150 2.156 0.0005265 151 2.15 0.000525 152 2.144 0.0005235 153 2.138 0.0005221 154 2.132 0.0005206 155 2.126 0.0005192 156 2.121 0.0005177 157 2.115 0.0005163 158 2.109 0.0005148 159 2.103 0.0005134 160 2.097 0.000512 161 2.091 0.0005106 162 2.086 0.0005092 163 2.08 0.0005078 164 2.074 0.0005064 165 2.069 0.000505 166 2.063 0.0005037 167 2.057 0.0005023 168 2.052 0.0005009 169 2.046 0.0004996 170 2.041 0.0004982 171 2.035 0.0004969 172 2.03 0.0004956 173 2.024 0.0004942 174 2.019 0.0004929 175 2.013 0.0004916 176 2.008 0.0004903 177 2.003 0.000489 178 1.997 0.0004877 179 1.992 0.0004864 180 1.987 0.0004851 181 1.982 0.0004838 182 1.976 0.0004825 183 1.971 0.0004812 184 1.966 0.00048 185 1.961 0.0004787 186 1.956 0.0004774 187 1.95 0.0004762 188 1.945 0.0004749 189 1.94 0.0004737 190 1.935 0.0004724 191 1.93 0.0004712 192 1.925 0.00047 193 1.92 0.0004688 194 1.915 0.0004675 195 1.91 0.0004663 196 1.905 0.0004651 197 1.9 0.0004639 198 1.895 0.0004627 199 1.89 0.0004615 200 1.885 0.0004603 201 1.881 0.0004591 202 1.876 0.0004579 203 1.871 0.0004568 204 1.866 0.0004556 205 1.861 0.0004544 206 1.857 0.0004533 207 1.852 0.0004521 208 1.847 0.0004509 209 1.842 0.0004498 210 1.838 0.0004486 211 1.833 0.0004475 212 1.828 0.0004464 213 1.824 0.0004452 214 1.819 0.0004441 215 1.814 0.000443 216 1.81 0.0004418 217 1.805 0.0004407 218 1.801 0.0004396 219 1.796 0.0004385 220 1.791 0.0004374 221 1.787 0.0004363 222 1.782 0.0004352 223 1.778 0.0004341 224 1.773 0.000433 225 1.769 0.0004319 226 1.765 0.0004308 227 1.76 0.0004297 228 1.756 0.0004286 229 1.751 0.0004276 230 1.747 0.0004265 231 1.742 0.0004254 232 1.738 0.0004244 233 1.734 0.0004233 234 1.729 0.0004222 235 1.725 0.0004212 236 1.721 0.0004201 237 1.717 0.0004191 238 1.712 0.000418 239 1.708 0.000417 240 1.704 0.000416 241 1.699 0.0004149 242 1.695 0.0004139 243 1.691 0.0004129 244 1.687 0.0004118 245 1.683 0.0004108 246 1.678 0.0004098 247 1.674 0.0004088 248 1.67 0.0004078 249 1.666 0.0004068 250 1.662 0.0004057 251 1.658 0.0004047 252 1.654 0.0004037 253 1.65 0.0004027 254 1.646 0.0004018 255 1.641 0.0004008 256 1.637 0.0003998 257 1.633 0.0003988 258 1.629 0.0003978 259 1.625 0.0003968 260 1.621 0.0003958 261 1.617 0.0003949 262 1.613 0.0003939 263 1.609 0.0003929 264 1.605 0.000392 265 1.602 0.000391 266 1.598 0.00039 267 1.594 0.0003891 268 1.59 0.0003881 269 1.586 0.0003872 270 1.582 0.0003862 271 1.578 0.0003853 272 1.574 0.0003844 273 1.57 0.0003834 274 1.567 0.0003825 275 1.563 0.0003815 276 1.559 0.0003806 277 1.555 0.0003797 278 1.551 0.0003787 279 1.548 0.0003778 280 1.544 0.0003769 281 1.54 0.000376 282 1.536 0.0003751 283 1.532 0.0003741 284 1.529 0.0003732 285 1.525 0.0003723 286 1.521 0.0003714 287 1.518 0.0003705 288 1.514 0.0003696 289 1.51 0.0003687 290 1.507 0.0003678 291 1.503 0.0003669 292 1.499 0.000366 293 1.496 0.0003651 294 1.492 0.0003643 295 1.488 0.0003634 296 1.485 0.0003625 297 1.481 0.0003616 298 1.478 0.0003607 299 1.474 0.0003599 300 1.47 0.000359 301 1.467 0.0003581 302 1.463 0.0003572 303 1.46 0.0003564 304 1.456 0.0003555 305 1.453 0.0003547 306 1.449 0.0003538 307 1.446 0.0003529 308 1.442 0.0003521 309 1.439 0.0003512 310 1.435 0.0003504 311 1.432 0.0003495 312 1.428 0.0003487 313 1.425 0.0003478 314 1.421 0.000347 315 1.418 0.0003462 316 1.414 0.0003453 317 1.411 0.0003445 318 1.408 0.0003437 319 1.404 0.0003428 320 1.401 0.000342 321 1.397 0.0003412 322 1.394 0.0003404 323 1.391 0.0003395 324 1.387 0.0003387 325 1.384 0.0003379 326 1.381 0.0003371 327 1.377 0.0003363 328 1.374 0.0003355 329 1.371 0.0003346 330 1.367 0.0003338 331 1.364 0.000333 332 1.361 0.0003322 333 1.357 0.0003314 334 1.354 0.0003306 335 1.351 0.0003298 336 1.348 0.000329 337 1.344 0.0003282 338 1.341 0.0003275 339 1.338 0.0003267 340 1.335 0.0003259 341 1.332 0.0003251 342 1.328 0.0003243 343 1.325 0.0003235 344 1.322 0.0003227 345 1.319 0.000322 346 1.316 0.0003212 347 1.312 0.0003204 348 1.309 0.0003197 349 1.306 0.0003189 350 1.303 0.0003181 351 1.3 0.0003173 352 1.297 0.0003166 353 1.294 0.0003158 354 1.29 0.0003151 355 1.287 0.0003143 356 1.284 0.0003135 357 1.281 0.0003128 358 1.278 0.000312 359 1.275 0.0003113 360 1.272 0.0003105 361 1.269 0.0003098 362 1.266 0.0003091 363 1.263 0.0003083 364 1.26 0.0003076 365 1.257 0.0003068 366 1.254 0.0003061 367 1.251 0.0003054 368 1.248 0.0003046 369 1.245 0.0003039 370 1.242 0.0003032 371 1.239 0.0003024 372 1.236 0.0003017 373 1.233 0.000301 374 1.23 0.0003003 375 1.227 0.0002995 376 1.224 0.0002988 377 1.221 0.0002981 378 1.218 0.0002974 379 1.215 0.0002967 380 1.212 0.000296 381 1.209 0.0002952 382 1.206 0.0002945 383 1.203 0.0002938 384 1.201 0.0002931 385 1.198 0.0002924 386 1.195 0.0002917 387 1.192 0.000291 388 1.189 0.0002903 389 1.186 0.0002896 390 1.183 0.0002889 391 1.181 0.0002882 392 1.178 0.0002875 393 1.175 0.0002869 394 1.172 0.0002862 395 1.169 0.0002855 396 1.166 0.0002848 397 1.164 0.0002841 398 1.161 0.0002834 399 1.158 0.0002827 400 1.155 0.0002821 401 1.153 0.0002814 402 1.15 0.0002807 403 1.147 0.00028 404 1.144 0.0002794 405 1.142 0.0002787 406 1.139 0.000278 407 1.136 0.0002774 408 1.133 0.0002767 409 1.131 0.000276 410 1.128 0.0002754 411 1.125 0.0002747 412 1.122 0.0002741 413 1.12 0.0002734 414 1.117 0.0002727 415 1.114 0.0002721 416 1.112 0.0002714 417 1.109 0.0002708 418 1.106 0.0002701 419 1.104 0.0002695 420 1.101 0.0002688 421 1.098 0.0002682 422 1.096 0.0002675 423 1.093 0.0002669 424 1.091 0.0002663 425 1.088 0.0002656 426 1.085 0.000265 427 1.083 0.0002644 428 1.08 0.0002637 429 1.078 0.0002631 430 1.075 0.0002625 431 1.072 0.0002618 432 1.07 0.0002612 433 1.067 0.0002606 434 1.065 0.0002599 435 1.062 0.0002593 436 1.06 0.0002587 437 1.057 0.0002581 438 1.055 0.0002575 439 1.052 0.0002568 440 1.049 0.0002562 441 1.047 0.0002556 442 1.044 0.000255 443 1.042 0.0002544 444 1.039 0.0002538 445 1.037 0.0002532 446 1.034 0.0002526 447 1.032 0.000252 448 1.029 0.0002513 449 1.027 0.0002507 450 1.025 0.0002501 451 1.022 0.0002495 452 1.02 0.0002489 453 1.017 0.0002483 454 1.015 0.0002478 455 1.012 0.0002472 456 1.01 0.0002466 457 1.007 0.000246 458 1.005 0.0002454 459 1.003 0.0002448 460 1 0.0002442 461 0.9978 0.0002436 462 0.9954 0.000243 463 0.9931 0.0002425 464 0.9907 0.0002419 465 0.9883 0.0002413 466 0.9859 0.0002407 467 0.9836 0.0002401 468 0.9812 0.0002396 469 0.9788 0.000239 470 0.9765 0.0002384 471 0.9742 0.0002378 472 0.9718 0.0002373 473 0.9695 0.0002367 474 0.9672 0.0002361 475 0.9648 0.0002356 476 0.9625 0.000235 477 0.9602 0.0002344 478 0.9579 0.0002339 479 0.9556 0.0002333 480 0.9533 0.0002328 481 0.951 0.0002322 482 0.9487 0.0002316 483 0.9465 0.0002311 484 0.9442 0.0002305 485 0.9419 0.00023 486 0.9397 0.0002294 487 0.9374 0.0002289 488 0.9352 0.0002283 489 0.9329 0.0002278 490 0.9307 0.0002272 491 0.9285 0.0002267 492 0.9262 0.0002261 493 0.924 0.0002256 494 0.9218 0.0002251 495 0.9196 0.0002245 496 0.9174 0.000224 497 0.9152 0.0002234 498 0.913 0.0002229 499 0.9108 0.0002224 500 0.9086 0.0002218 501 0.9064 0.0002213 502 0.9042 0.0002208 503 0.9021 0.0002202 504 0.8999 0.0002197 505 0.8977 0.0002192 506 0.8956 0.0002187 507 0.8934 0.0002181 508 0.8913 0.0002176 509 0.8892 0.0002171 510 0.887 0.0002166 511 0.8849 0.000216 512 0.8828 0.0002155 513 0.8806 0.000215 514 0.8785 0.0002145 515 0.8764 0.000214 516 0.8743 0.0002135 517 0.8722 0.000213 518 0.8701 0.0002124 519 0.868 0.0002119 520 0.866 0.0002114 521 0.8639 0.0002109 522 0.8618 0.0002104 523 0.8597 0.0002099 524 0.8577 0.0002094 525 0.8556 0.0002089 526 0.8536 0.0002084 527 0.8515 0.0002079 528 0.8495 0.0002074 529 0.8474 0.0002069 530 0.8454 0.0002064 531 0.8434 0.0002059 532 0.8413 0.0002054 533 0.8393 0.0002049 534 0.8373 0.0002044 535 0.8353 0.0002039 536 0.8333 0.0002034 537 0.8313 0.000203 538 0.8293 0.0002025 539 0.8273 0.000202 540 0.8253 0.0002015 541 0.8233 0.000201 542 0.8213 0.0002005 543 0.8194 0.0002001 544 0.8174 0.0001996 545 0.8154 0.0001991 546 0.8135 0.0001986 547 0.8115 0.0001981 548 0.8096 0.0001977 549 0.8076 0.0001972 550 0.8057 0.0001967 551 0.8038 0.0001962 552 0.8018 0.0001958 553 0.7999 0.0001953 554 0.798 0.0001948 555 0.7961 0.0001944 556 0.7942 0.0001939 557 0.7923 0.0001934 558 0.7903 0.000193 559 0.7884 0.0001925 560 0.7866 0.000192 561 0.7847 0.0001916 562 0.7828 0.0001911 563 0.7809 0.0001907 564 0.779 0.0001902 565 0.7772 0.0001897 566 0.7753 0.0001893 567 0.7734 0.0001888 568 0.7716 0.0001884 569 0.7697 0.0001879 570 0.7679 0.0001875 571 0.766 0.000187 572 0.7642 0.0001866 573 0.7623 0.0001861 574 0.7605 0.0001857 575 0.7587 0.0001852 576 0.7569 0.0001848 577 0.755 0.0001843 578 0.7532 0.0001839 579 0.7514 0.0001835 580 0.7496 0.000183 581 0.7478 0.0001826 582 0.746 0.0001821 583 0.7442 0.0001817 584 0.7424 0.0001813 585 0.7407 0.0001808 586 0.7389 0.0001804 587 0.7371 0.00018 588 0.7353 0.0001795 589 0.7336 0.0001791 590 0.7318 0.0001787 591 0.73 0.0001782 592 0.7283 0.0001778 593 0.7265 0.0001774 594 0.7248 0.000177 595 0.723 0.0001765 596 0.7213 0.0001761 597 0.7196 0.0001757 598 0.7179 0.0001753 599 0.7161 0.0001748 600 0.7144 0.0001744 601 0.7127 0.000174 602 0.711 0.0001736 603 0.7093 0.0001732 604 0.7076 0.0001728 605 0.7059 0.0001723 606 0.7042 0.0001719 607 0.7025 0.0001715 608 0.7008 0.0001711 609 0.6991 0.0001707 610 0.6974 0.0001703 611 0.6957 0.0001699 612 0.6941 0.0001695 613 0.6924 0.0001691 614 0.6907 0.0001686 615 0.6891 0.0001682 616 0.6874 0.0001678 617 0.6858 0.0001674 618 0.6841 0.000167 619 0.6825 0.0001666 620 0.6808 0.0001662 621 0.6792 0.0001658 622 0.6776 0.0001654 623 0.6759 0.000165 624 0.6743 0.0001646 625 0.6727 0.0001642 626 0.6711 0.0001638 627 0.6695 0.0001634 628 0.6679 0.0001631 629 0.6663 0.0001627 630 0.6646 0.0001623 631 0.6631 0.0001619 632 0.6615 0.0001615 633 0.6599 0.0001611 634 0.6583 0.0001607 635 0.6567 0.0001603 636 0.6551 0.0001599 637 0.6535 0.0001596 638 0.652 0.0001592 639 0.6504 0.0001588 640 0.6488 0.0001584 641 0.6473 0.000158 642 0.6457 0.0001577 643 0.6442 0.0001573 644 0.6426 0.0001569 645 0.6411 0.0001565 646 0.6395 0.0001561 647 0.638 0.0001558 648 0.6365 0.0001554 649 0.6349 0.000155 650 0.6334 0.0001546 651 0.6319 0.0001543 652 0.6304 0.0001539 653 0.6289 0.0001535 654 0.6273 0.0001532 655 0.6258 0.0001528 656 0.6243 0.0001524 657 0.6228 0.0001521 658 0.6213 0.0001517 659 0.6198 0.0001513 660 0.6183 0.000151 661 0.6169 0.0001506 662 0.6154 0.0001502 663 0.6139 0.0001499 664 0.6124 0.0001495 665 0.6109 0.0001492 666 0.6095 0.0001488 667 0.608 0.0001484 668 0.6066 0.0001481 669 0.6051 0.0001477 670 0.6036 0.0001474 671 0.6022 0.000147 672 0.6007 0.0001467 673 0.5993 0.0001463 674 0.5979 0.000146 675 0.5964 0.0001456 676 0.595 0.0001453 677 0.5935 0.0001449 678 0.5921 0.0001446 679 0.5907 0.0001442 680 0.5893 0.0001439 681 0.5879 0.0001435 682 0.5864 0.0001432 683 0.585 0.0001428 684 0.5836 0.0001425 685 0.5822 0.0001422 686 0.5808 0.0001418 687 0.5794 0.0001415 688 0.578 0.0001411 689 0.5766 0.0001408 690 0.5753 0.0001404 691 0.5739 0.0001401 692 0.5725 0.0001398 693 0.5711 0.0001394 694 0.5697 0.0001391 695 0.5684 0.0001388 696 0.567 0.0001384 697 0.5656 0.0001381 698 0.5643 0.0001378 699 0.5629 0.0001374 700 0.5616 0.0001371 701 0.5602 0.0001368 702 0.5589 0.0001364 703 0.5575 0.0001361 704 0.5562 0.0001358 705 0.5548 0.0001355 706 0.5535 0.0001351 707 0.5522 0.0001348 708 0.5509 0.0001345 709 0.5495 0.0001342 710 0.5482 0.0001338 711 0.5469 0.0001335 712 0.5456 0.0001332 713 0.5443 0.0001329 714 0.543 0.0001326 715 0.5416 0.0001322 716 0.5403 0.0001319 717 0.539 0.0001316 718 0.5377 0.0001313 719 0.5365 0.000131 720 0.5352 0.0001307 721 0.5339 0.0001303 722 0.5326 0.00013 723 0.5313 0.0001297 724 0.53 0.0001294 725 0.5288 0.0001291 726 0.5275 0.0001288 727 0.5262 0.0001285 728 0.525 0.0001282 729 0.5237 0.0001279 730 0.5224 0.0001276 731 0.5212 0.0001272 732 0.5199 0.0001269 733 0.5187 0.0001266 734 0.5174 0.0001263 735 0.5162 0.000126 736 0.5149 0.0001257 737 0.5137 0.0001254 738 0.5125 0.0001251 739 0.5112 0.0001248 740 0.51 0.0001245 741 0.5088 0.0001242 742 0.5075 0.0001239 743 0.5063 0.0001236 744 0.5051 0.0001233 745 0.5039 0.000123 746 0.5027 0.0001227 747 0.5015 0.0001224 748 0.5003 0.0001221 749 0.4991 0.0001218 750 0.4979 0.0001216 751 0.4967 0.0001213 752 0.4955 0.000121 753 0.4943 0.0001207 754 0.4931 0.0001204 755 0.4919 0.0001201 756 0.4907 0.0001198 757 0.4895 0.0001195 758 0.4884 0.0001192 759 0.4872 0.0001189 760 0.486 0.0001187 761 0.4848 0.0001184 762 0.4837 0.0001181 763 0.4825 0.0001178 764 0.4813 0.0001175 765 0.4802 0.0001172 766 0.479 0.000117 767 0.4779 0.0001167 768 0.4767 0.0001164 769 0.4756 0.0001161 770 0.4744 0.0001158 771 0.4733 0.0001156 772 0.4722 0.0001153 773 0.471 0.000115 774 0.4699 0.0001147 775 0.4688 0.0001144 776 0.4676 0.0001142 777 0.4665 0.0001139 778 0.4654 0.0001136 779 0.4643 0.0001134 780 0.4631 0.0001131 781 0.462 0.0001128 782 0.4609 0.0001125 783 0.4598 0.0001123 784 0.4587 0.000112 785 0.4576 0.0001117 786 0.4565 0.0001115 787 0.4554 0.0001112 788 0.4543 0.0001109 789 0.4532 0.0001107 790 0.4521 0.0001104 791 0.451 0.0001101 792 0.4499 0.0001099 793 0.4489 0.0001096 794 0.4478 0.0001093 795 0.4467 0.0001091 796 0.4456 0.0001088 797 0.4446 0.0001085 798 0.4435 0.0001083 799 0.4424 0.000108 800 0.4414 0.0001078 801 0.4403 0.0001075 802 0.4392 0.0001072 803 0.4382 0.000107 804 0.4371 0.0001067 805 0.4361 0.0001065 806 0.435 0.0001062 807 0.434 0.000106 808 0.4329 0.0001057 809 0.4319 0.0001054 810 0.4309 0.0001052 811 0.4298 0.0001049 812 0.4288 0.0001047 813 0.4278 0.0001044 814 0.4267 0.0001042 815 0.4257 0.0001039 816 0.4247 0.0001037 817 0.4236 0.0001034 818 0.4226 0.0001032 819 0.4216 0.0001029 820 0.4206 0.0001027 821 0.4196 0.0001024 822 0.4186 0.0001022 823 0.4176 0.0001019 824 0.4166 0.0001017 825 0.4156 0.0001015 826 0.4146 0.0001012 827 0.4136 0.000101 828 0.4126 0.0001007 829 0.4116 0.0001005 830 0.4106 0.0001002 831 0.4096 0.0001 832 0.4086 9.976e-05 833 0.4076 9.952e-05 834 0.4066 9.928e-05 835 0.4057 9.904e-05 836 0.4047 9.881e-05 837 0.4037 9.857e-05 838 0.4027 9.833e-05 839 0.4018 9.809e-05 840 0.4008 9.786e-05 841 0.3998 9.762e-05 842 0.3989 9.739e-05 843 0.3979 9.715e-05 844 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0.02624 6.407e-06 1972 0.02618 6.391e-06 1973 0.02611 6.376e-06 1974 0.02605 6.36e-06 1975 0.02599 6.345e-06 1976 0.02593 6.33e-06 1977 0.02586 6.315e-06 1978 0.0258 6.299e-06 1979 0.02574 6.284e-06 1980 0.02568 6.269e-06 1981 0.02562 6.254e-06 1982 0.02555 6.239e-06 1983 0.02549 6.224e-06 1984 0.02543 6.209e-06 1985 0.02537 6.194e-06 1986 0.02531 6.179e-06 1987 0.02525 6.164e-06 1988 0.02519 6.149e-06 1989 0.02513 6.135e-06 1990 0.02507 6.12e-06 1991 0.02501 6.105e-06 1992 0.02494 6.09e-06 1993 0.02488 6.076e-06 1994 0.02482 6.061e-06 1995 0.02477 6.046e-06 1996 0.02471 6.032e-06 1997 0.02465 6.017e-06 1998 0.02459 6.003e-06 1999 0.02453 5.988e-06 2000 0.02447 5.974e-06 2001 0.02441 5.96e-06 2002 0.02435 5.945e-06 2003 0.02429 5.931e-06 2004 0.02423 5.917e-06 2005 0.02418 5.902e-06 2006 0.02412 5.888e-06 2007 0.02406 5.874e-06 2008 0.024 5.86e-06 2009 0.02394 5.846e-06 2010 0.02389 5.832e-06 2011 0.02383 5.818e-06 2012 0.02377 5.804e-06 2013 0.02371 5.79e-06 2014 0.02366 5.776e-06 2015 0.0236 5.762e-06 2016 0.02354 5.748e-06 2017 0.02349 5.734e-06 2018 0.02343 5.72e-06 2019 0.02337 5.707e-06 2020 0.02332 5.693e-06 2021 0.02326 5.679e-06 2022 0.0232 5.665e-06 2023 0.02315 5.652e-06 2024 0.02309 5.638e-06 2025 0.02304 5.625e-06 2026 0.02298 5.611e-06 2027 0.02293 5.598e-06 2028 0.02287 5.584e-06 2029 0.02282 5.571e-06 2030 0.02276 5.557e-06 2031 0.02271 5.544e-06 2032 0.02265 5.531e-06 2033 0.0226 5.517e-06 2034 0.02254 5.504e-06 2035 0.02249 5.491e-06 2036 0.02243 5.477e-06 2037 0.02238 5.464e-06 2038 0.02233 5.451e-06 2039 0.02227 5.438e-06 2040 0.02222 5.425e-06 2041 0.02217 5.412e-06 2042 0.02211 5.399e-06 2043 0.02206 5.386e-06 2044 0.02201 5.373e-06 2045 0.02195 5.36e-06 2046 0.0219 5.347e-06 2047 0.02185 5.334e-06 2048 0.0218 5.321e-06 2049 0.02174 5.308e-06 2050 0.02169 5.296e-06 2051 0.02164 5.283e-06 2052 0.02159 5.27e-06 2053 0.02153 5.258e-06 2054 0.02148 5.245e-06 2055 0.02143 5.232e-06 2056 0.02138 5.22e-06 2057 0.02133 5.207e-06 2058 0.02128 5.195e-06 2059 0.02122 5.182e-06 2060 0.02117 5.17e-06 2061 0.02112 5.157e-06 2062 0.02107 5.145e-06 2063 0.02102 5.132e-06 2064 0.02097 5.12e-06 2065 0.02092 5.108e-06 2066 0.02087 5.095e-06 2067 0.02082 5.083e-06 2068 0.02077 5.071e-06 2069 0.02072 5.059e-06 2070 0.02067 5.046e-06 2071 0.02062 5.034e-06 2072 0.02057 5.022e-06 2073 0.02052 5.01e-06 2074 0.02047 4.998e-06 2075 0.02042 4.986e-06 2076 0.02037 4.974e-06 2077 0.02032 4.962e-06 2078 0.02027 4.95e-06 2079 0.02023 4.938e-06 2080 0.02018 4.926e-06 2081 0.02013 4.914e-06 2082 0.02008 4.903e-06 2083 0.02003 4.891e-06 2084 0.01998 4.879e-06 2085 0.01994 4.867e-06 2086 0.01989 4.855e-06 2087 0.01984 4.844e-06 2088 0.01979 4.832e-06 2089 0.01974 4.821e-06 2090 0.0197 4.809e-06 2091 0.01965 4.797e-06 2092 0.0196 4.786e-06 2093 0.01955 4.774e-06 2094 0.01951 4.763e-06 2095 0.01946 4.751e-06 2096 0.01941 4.74e-06 2097 0.01937 4.728e-06 2098 0.01932 4.717e-06 2099 0.01927 4.706e-06 2100 0.01923 4.694e-06 2101 0.01918 4.683e-06 2102 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2146 0.01721 4.202e-06 2147 0.01717 4.192e-06 2148 0.01713 4.181e-06 2149 0.01709 4.171e-06 2150 0.01704 4.161e-06 2151 0.017 4.151e-06 2152 0.01696 4.141e-06 2153 0.01692 4.131e-06 2154 0.01688 4.121e-06 2155 0.01684 4.111e-06 2156 0.0168 4.102e-06 2157 0.01676 4.092e-06 2158 0.01672 4.082e-06 2159 0.01668 4.072e-06 2160 0.01664 4.062e-06 2161 0.0166 4.052e-06 2162 0.01656 4.043e-06 2163 0.01652 4.033e-06 2164 0.01648 4.023e-06 2165 0.01644 4.014e-06 2166 0.0164 4.004e-06 2167 0.01636 3.994e-06 2168 0.01632 3.985e-06 2169 0.01628 3.975e-06 2170 0.01624 3.965e-06 2171 0.0162 3.956e-06 2172 0.01616 3.946e-06 2173 0.01612 3.937e-06 2174 0.01609 3.927e-06 2175 0.01605 3.918e-06 2176 0.01601 3.909e-06 2177 0.01597 3.899e-06 2178 0.01593 3.89e-06 2179 0.01589 3.88e-06 2180 0.01586 3.871e-06 2181 0.01582 3.862e-06 2182 0.01578 3.852e-06 2183 0.01574 3.843e-06 2184 0.0157 3.834e-06 2185 0.01567 3.825e-06 2186 0.01563 3.815e-06 2187 0.01559 3.806e-06 2188 0.01555 3.797e-06 2189 0.01551 3.788e-06 2190 0.01548 3.779e-06 2191 0.01544 3.77e-06 2192 0.0154 3.761e-06 2193 0.01537 3.752e-06 2194 0.01533 3.743e-06 2195 0.01529 3.734e-06 2196 0.01526 3.725e-06 2197 0.01522 3.716e-06 2198 0.01518 3.707e-06 2199 0.01515 3.698e-06 2200 0.01511 3.689e-06 2201 0.01507 3.68e-06 2202 0.01504 3.671e-06 2203 0.015 3.662e-06 2204 0.01496 3.653e-06 2205 0.01493 3.645e-06 2206 0.01489 3.636e-06 2207 0.01486 3.627e-06 2208 0.01482 3.618e-06 2209 0.01478 3.61e-06 2210 0.01475 3.601e-06 2211 0.01471 3.592e-06 2212 0.01468 3.584e-06 2213 0.01464 3.575e-06 2214 0.01461 3.566e-06 2215 0.01457 3.558e-06 2216 0.01454 3.549e-06 2217 0.0145 3.541e-06 2218 0.01447 3.532e-06 2219 0.01443 3.524e-06 2220 0.0144 3.515e-06 2221 0.01436 3.507e-06 2222 0.01433 3.498e-06 2223 0.01429 3.49e-06 2224 0.01426 3.481e-06 2225 0.01423 3.473e-06 2226 0.01419 3.465e-06 2227 0.01416 3.456e-06 2228 0.01412 3.448e-06 2229 0.01409 3.44e-06 2230 0.01405 3.431e-06 2231 0.01402 3.423e-06 2232 0.01399 3.415e-06 2233 0.01395 3.407e-06 2234 0.01392 3.399e-06 2235 0.01389 3.39e-06 2236 0.01385 3.382e-06 2237 0.01382 3.374e-06 2238 0.01379 3.366e-06 2239 0.01375 3.358e-06 2240 0.01372 3.35e-06 2241 0.01369 3.342e-06 2242 0.01365 3.334e-06 2243 0.01362 3.326e-06 2244 0.01359 3.318e-06 2245 0.01356 3.31e-06 2246 0.01352 3.302e-06 2247 0.01349 3.294e-06 2248 0.01346 3.286e-06 2249 0.01343 3.278e-06 2250 0.01339 3.27e-06 2251 0.01336 3.262e-06 2252 0.01333 3.254e-06 2253 0.0133 3.246e-06 2254 0.01326 3.239e-06 2255 0.01323 3.231e-06 2256 0.0132 3.223e-06 2257 0.01317 3.215e-06 2258 0.01314 3.208e-06 2259 0.01311 3.2e-06 2260 0.01307 3.192e-06 2261 0.01304 3.184e-06 2262 0.01301 3.177e-06 2263 0.01298 3.169e-06 2264 0.01295 3.161e-06 2265 0.01292 3.154e-06 2266 0.01289 3.146e-06 2267 0.01286 3.139e-06 2268 0.01282 3.131e-06 2269 0.01279 3.124e-06 2270 0.01276 3.116e-06 2271 0.01273 3.109e-06 2272 0.0127 3.101e-06 2273 0.01267 3.094e-06 2274 0.01264 3.086e-06 2275 0.01261 3.079e-06 2276 0.01258 3.071e-06 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1.12e-06 2.735e-10 6146 1.117e-06 2.728e-10 6147 1.115e-06 2.722e-10 6148 1.112e-06 2.715e-10 6149 1.109e-06 2.709e-10 6150 1.107e-06 2.702e-10 6151 1.104e-06 2.696e-10 6152 1.101e-06 2.689e-10 6153 1.099e-06 2.683e-10 6154 1.096e-06 2.676e-10 6155 1.093e-06 2.67e-10 6156 1.091e-06 2.663e-10 6157 1.088e-06 2.657e-10 6158 1.086e-06 2.65e-10 6159 1.083e-06 2.644e-10 6160 1.08e-06 2.638e-10 6161 1.078e-06 2.631e-10 6162 1.075e-06 2.625e-10 6163 1.073e-06 2.619e-10 6164 1.07e-06 2.612e-10 6165 1.067e-06 2.606e-10 6166 1.065e-06 2.6e-10 6167 1.062e-06 2.594e-10 6168 1.06e-06 2.587e-10 6169 1.057e-06 2.581e-10 6170 1.055e-06 2.575e-10 6171 1.052e-06 2.569e-10 6172 1.05e-06 2.563e-10 6173 1.047e-06 2.556e-10 6174 1.045e-06 2.55e-10 6175 1.042e-06 2.544e-10 6176 1.039e-06 2.538e-10 6177 1.037e-06 2.532e-10 6178 1.034e-06 2.526e-10 6179 1.032e-06 2.52e-10 6180 1.03e-06 2.514e-10 6181 1.027e-06 2.508e-10 6182 1.025e-06 2.501e-10 6183 1.022e-06 2.495e-10 6184 1.02e-06 2.489e-10 6185 1.017e-06 2.483e-10 6186 1.015e-06 2.477e-10 6187 1.012e-06 2.472e-10 6188 1.01e-06 2.466e-10 6189 1.007e-06 2.46e-10 6190 1.005e-06 2.454e-10 6191 1.003e-06 2.448e-10 6192 1e-06 2.442e-10 6193 9.978e-07 2.436e-10 Using grid index K = 6 System size NK was 65 Tolerance for linear residual 1e-06 RMS of linear residual 9.97752e-07 Number of GS iterations taken was 6193 RMS GS error in solution of linear system = 1.00935e-07 RMS discretization error in Poisson solution = 3.8191e-05 I X U_Exact U_Direct U_GS 1 0.0000 -0 -1.141e-15 0 2 0.0156 -0.01562 -0.01562 -0.01562 3 0.0312 -0.03123 -0.03123 -0.03123 4 0.0469 -0.04682 -0.04681 -0.04681 5 0.0625 -0.06237 -0.06236 -0.06236 6 0.0781 -0.07787 -0.07786 -0.07786 7 0.0938 -0.09331 -0.0933 -0.0933 8 0.1094 -0.1087 -0.1087 -0.1087 9 0.1250 -0.1239 -0.1239 -0.1239 10 0.1406 -0.1391 -0.1391 -0.1391 11 0.1562 -0.1541 -0.1541 -0.1541 12 0.1719 -0.169 -0.169 -0.169 13 0.1875 -0.1838 -0.1837 -0.1837 14 0.2031 -0.1983 -0.1983 -0.1983 15 0.2188 -0.2127 -0.2127 -0.2127 16 0.2344 -0.2268 -0.2268 -0.2268 17 0.2500 -0.2408 -0.2407 -0.2407 18 0.2656 -0.2544 -0.2544 -0.2544 19 0.2812 -0.2678 -0.2678 -0.2678 20 0.2969 -0.2809 -0.2809 -0.2809 21 0.3125 -0.2937 -0.2936 -0.2936 22 0.3281 -0.3061 -0.306 -0.306 23 0.3438 -0.3181 -0.3181 -0.3181 24 0.3594 -0.3298 -0.3297 -0.3297 25 0.3750 -0.341 -0.341 -0.341 26 0.3906 -0.3518 -0.3517 -0.3517 27 0.4062 -0.3621 -0.3621 -0.3621 28 0.4219 -0.3719 -0.3718 -0.3718 29 0.4375 -0.3812 -0.3811 -0.3811 30 0.4531 -0.3898 -0.3898 -0.3898 31 0.4688 -0.3979 -0.3979 -0.3979 32 0.4844 -0.4054 -0.4053 -0.4053 33 0.5000 -0.4122 -0.4121 -0.4121 34 0.5156 -0.4183 -0.4182 -0.4182 35 0.5312 -0.4236 -0.4236 -0.4236 36 0.5469 -0.4282 -0.4281 -0.4281 37 0.5625 -0.4319 -0.4319 -0.4319 38 0.5781 -0.4348 -0.4347 -0.4347 39 0.5938 -0.4368 -0.4367 -0.4367 40 0.6094 -0.4378 -0.4378 -0.4378 41 0.6250 -0.4379 -0.4378 -0.4378 42 0.6406 -0.4369 -0.4368 -0.4368 43 0.6562 -0.4348 -0.4348 -0.4348 44 0.6719 -0.4316 -0.4316 -0.4316 45 0.6875 -0.4273 -0.4272 -0.4272 46 0.7031 -0.4217 -0.4216 -0.4216 47 0.7188 -0.4148 -0.4147 -0.4147 48 0.7344 -0.4066 -0.4065 -0.4065 49 0.7500 -0.3969 -0.3969 -0.3969 50 0.7656 -0.3859 -0.3858 -0.3858 51 0.7812 -0.3733 -0.3732 -0.3732 52 0.7969 -0.3591 -0.3591 -0.3591 53 0.8125 -0.3433 -0.3433 -0.3433 54 0.8281 -0.3258 -0.3258 -0.3258 55 0.8438 -0.3065 -0.3065 -0.3065 56 0.8594 -0.2854 -0.2854 -0.2854 57 0.8750 -0.2624 -0.2623 -0.2623 58 0.8906 -0.2374 -0.2373 -0.2373 59 0.9062 -0.2103 -0.2103 -0.2103 60 0.9219 -0.1811 -0.181 -0.181 61 0.9375 -0.1496 -0.1496 -0.1496 62 0.9531 -0.1159 -0.1159 -0.1159 63 0.9688 -0.07976 -0.07975 -0.07975 64 0.9844 -0.04116 -0.04116 -0.04116 65 1.0000 0 0 0 GAUSS_SEIDEL_POISSON_1D: Normal end of execution. 15-May-2025 06:21:56 gauss_seidel_poisson_1d_test(): Normal end of execution. 15-May-2025 06:21:56