Runge2

3
kz1 kv1 kz2 kv2 kz3 kv3 kz4 kv4 tn Zn Vn - - - - - - - - 0 8 0 0 -1.046400 -0.104640 -1.045137 -0.104514 -1.038296 -0.207659 -1.027754 0.2 7.895672 -1.040170 -0.208034 -1.027760 -0.310810 -1.008002 -0.308834 -1.001422 -0.408318 -0.973121 0.4 7.586399 -2.043458 -0.408692 -0.973028 -0.505994 -0.936031 -0.502295 -0.930097 -0.594711 -0.885791 0.6 7.083069 -2.975304 -0.595061 -0.885608 -0.683622 -0.833625 -0.678423 -0.828650 -0.760791 -0.770943 0.8 6.403078 -3.805487 -0.761097 -0.770684 -0.838166 -0.706687 -0.831766 -0.702880 -0.901673 -0.634918 1 5.569306 -4.509610 -0.901922 -0.634604 -0.965382 -0.561945 -0.958116 -0.559408 -1.013803 -0.484552 1.2 4.608852 -5.069920 -1.013984 -0.484204 -1.062404 -0.406288 -1.054613 -0.405025 -1.094989 -0.326548 1.4 3.551684 -5.475483 -1.095097 -0.326187 -1.127715 -0.246202 -1.119717 -0.246142 -1.144325 -0.167008 1.6 2.429303 -5.721797 -1.144359 -0.166650 -1.161024 -0.087376 -1.153097 -0.088403 -1.162040 -0.011120 1.8 1.273530 -5.810018 -1.162004 -0.010779 -1.163082 0.065505 -1.155453 0.063535 -1.149297 0.136965 2 0.115468 -5.745974 -1.149195 0.137279 -1.135467 0.208818 -1.128313 0.206051 -1.107984 0.274130 2.2 -1.015322 -5.539116 -1.107823 0.274412 -1.080382 0.339936 -1.073830 0.336512 -1.040521 0.398186 2.4 -2.091450 -5.201534 -1.040307 0.398435 -1.000463 0.457089 -0.994598 0.453133 -0.949680 0.507719 2.6 -3.088134 -4.747100 -0.949420 0.507935 -0.898627 0.559197 -0.893500 0.554815 -0.838457 0.601914 2.8 -3.983490 -4.190788 -0.838158 0.602099 -0.777948 0.645687 -0.773589 0.640969 -0.709964 0.680385 3 -4.758689 -3.548156 -0.709631 0.680541 -0.641577 0.716341 -0.637997 0.711362 -0.567359 0.743028 3.2 -5.398045 -2.834993 -0.566999 0.743159 -0.492683 0.771154 -0.489883 0.765976 -0.413803 0.789899 3.4 -5.889034 -2.067107 -0.413421 0.790007 -0.334421 0.810228 -0.332399 0.804905 -0.252440 0.821116 3.6 -6.222284 -1.260208 -0.252042 0.821205 -0.169921 0.833690 -0.168673 0.828270 -0.086388 0.836798 3.8 -6.391553 -0.429888 -0.085978 0.836868 -0.002291 0.841639 -0.001814 0.836165 0.081256 0.835491 4 -6.393709 0.408107 0.081621 0.835528 0.165174 0.827811 0.164402 0.822376 0.246097 0.807805 4.2 -6.229230 1.232058 0.246412 0.807777 0.327189 0.786316 0.325043 0.781194 0.402650 0.753561 4.4 -5.903642 2.014784

description

Runge Kutta

Transcript of Runge2

Page 1: Runge2

kz1 kv1 kz2 kv2 kz3 kv3 kz4 kv4 tn Zn Vn

- - - - - - - - 0 8 0

0 -1.046400 -0.104640 -1.045137 -0.104514 -1.038296 -0.207659 -1.027754 0.2 7.895672 -1.040170

-0.208034 -1.027760 -0.310810 -1.008002 -0.308834 -1.001422 -0.408318 -0.973121 0.4 7.586399 -2.043458

-0.408692 -0.973028 -0.505994 -0.936031 -0.502295 -0.930097 -0.594711 -0.885791 0.6 7.083069 -2.975304

-0.595061 -0.885608 -0.683622 -0.833625 -0.678423 -0.828650 -0.760791 -0.770943 0.8 6.403078 -3.805487

-0.761097 -0.770684 -0.838166 -0.706687 -0.831766 -0.702880 -0.901673 -0.634918 1 5.569306 -4.509610

-0.901922 -0.634604 -0.965382 -0.561945 -0.958116 -0.559408 -1.013803 -0.484552 1.2 4.608852 -5.069920

-1.013984 -0.484204 -1.062404 -0.406288 -1.054613 -0.405025 -1.094989 -0.326548 1.4 3.551684 -5.475483

-1.095097 -0.326187 -1.127715 -0.246202 -1.119717 -0.246142 -1.144325 -0.167008 1.6 2.429303 -5.721797

-1.144359 -0.166650 -1.161024 -0.087376 -1.153097 -0.088403 -1.162040 -0.011120 1.8 1.273530 -5.810018

-1.162004 -0.010779 -1.163082 0.065505 -1.155453 0.063535 -1.149297 0.136965 2 0.115468 -5.745974

-1.149195 0.137279 -1.135467 0.208818 -1.128313 0.206051 -1.107984 0.274130 2.2 -1.015322 -5.539116

-1.107823 0.274412 -1.080382 0.339936 -1.073830 0.336512 -1.040521 0.398186 2.4 -2.091450 -5.201534

-1.040307 0.398435 -1.000463 0.457089 -0.994598 0.453133 -0.949680 0.507719 2.6 -3.088134 -4.747100

-0.949420 0.507935 -0.898627 0.559197 -0.893500 0.554815 -0.838457 0.601914 2.8 -3.983490 -4.190788

-0.838158 0.602099 -0.777948 0.645687 -0.773589 0.640969 -0.709964 0.680385 3 -4.758689 -3.548156

-0.709631 0.680541 -0.641577 0.716341 -0.637997 0.711362 -0.567359 0.743028 3.2 -5.398045 -2.834993

-0.566999 0.743159 -0.492683 0.771154 -0.489883 0.765976 -0.413803 0.789899 3.4 -5.889034 -2.067107

-0.413421 0.790007 -0.334421 0.810228 -0.332399 0.804905 -0.252440 0.821116 3.6 -6.222284 -1.260208

-0.252042 0.821205 -0.169921 0.833690 -0.168673 0.828270 -0.086388 0.836798 3.8 -6.391553 -0.429888

-0.085978 0.836868 -0.002291 0.841639 -0.001814 0.836165 0.081256 0.835491 4 -6.393709 0.408107

0.081621 0.835528 0.165174 0.827811 0.164402 0.822376 0.246097 0.807805 4.2 -6.229230 1.232058

0.246412 0.807777 0.327189 0.786316 0.325043 0.781194 0.402650 0.753561 4.4 -5.903642 2.014784

Page 2: Runge2

0.402957 0.753461 0.478303 0.719446 0.474901 0.714893 0.545935 0.675689 4.6 -5.427759 2.731089

0.546218 0.675525 0.613770 0.630761 0.609294 0.626975 0.671613 0.578209 4.8 -4.817099 3.359290

0.671858 0.577993 0.729657 0.524706 0.724329 0.521820 0.776222 0.465813 5 -4.091090 3.882100

0.776420 0.465558 0.822976 0.406188 0.817039 0.404267 0.857273 0.343448 5.2 -3.272136 4.287086

0.857417 0.343169 0.891734 0.280168 0.885434 0.279215 0.913260 0.215945 5.4 -2.384634 4.566732

0.913346 0.215656 0.934912 0.151324 0.928479 0.151297 0.943606 0.087728 5.6 -1.454012 4.718170

0.943634 0.087441 0.952378 0.023814 0.946015 0.024636 0.948561 -0.037373 5.8 -0.505848 4.742665

0.948533 -0.037648 0.944768 -0.098860 0.938647 -0.097283 0.929076 -0.156208 6 0.434892 4.644974

0.928995 -0.156464 0.913348 -0.213895 0.907605 -0.211665 0.886662 -0.266310 6.2 1.344486 4.432659

0.886532 -0.266544 0.859877 -0.319152 0.854617 -0.316368 0.823258 -0.365845 6.4 2.200949 4.115421

0.823084 -0.366053 0.786479 -0.413085 0.781776 -0.409840 0.741116 -0.453516 6.6 2.984400 3.704517

0.740903 -0.453699 0.695534 -0.494634 0.691440 -0.491012 0.642701 -0.528461 6.8 3.677326 3.212276

0.642455 -0.528619 0.589593 -0.563121 0.586143 -0.559196 0.530616 -0.590149 7 4.264750 2.651709

0.530342 -0.590283 0.471314 -0.618145 0.468527 -0.613982 0.407545 -0.638277 7.2 4.734344 2.036240

0.407248 -0.638389 0.343409 -0.659494 0.341299 -0.655152 0.276218 -0.672698 7.4 5.076491 1.379511

0.275902 -0.672788 0.208623 -0.687071 0.207195 -0.682602 0.139382 -0.693348 7.6 5.284311 0.695263

0.139053 -0.693419 0.069711 -0.700843 0.068968 -0.696296 -0.000206 -0.700209 7.8 5.353679 -0.002721

-0.000544 -0.700261 -0.070570 -0.699651 -0.070509 -0.695072 -0.139559 -0.688791 8 5.283302 -0.699137

-0.139827 -0.688800 -0.208707 -0.676885 -0.207516 -0.672438 -0.274315 -0.655230 8.2 5.075537 -1.372917

-0.274583 -0.655181 -0.340101 -0.632576 -0.337841 -0.628468 -0.400277 -0.601204 8.4 4.737079 -2.002662

-0.400532 -0.601099 -0.460642 -0.568932 -0.457426 -0.565341 -0.513601 -0.529342 8.6 4.278701 -2.569160

-0.513832 -0.529190 -0.566751 -0.488987 -0.562731 -0.486050 -0.611042 -0.442968 8.8 3.714728 -3.056198

-0.611240 -0.442777 -0.655517 -0.396330 -0.650873 -0.394135 -0.690067 -0.345807 9 3.062381 -3.451117

-0.690223 -0.345589 -0.724782 -0.294806 -0.719704 -0.293392 -0.748902 -0.241708 9.2 2.341031 -3.745066

Page 3: Runge2

-0.749013 -0.241474 -0.773161 -0.188247 -0.767838 -0.187614 -0.786536 -0.134392 9.4 1.571440 -3.932998

-0.786600 -0.134151 -0.800015 -0.080252 -0.794625 -0.080366 -0.802673 -0.027267 9.6 0.775015 -4.013440

-0.802688 -0.027029 -0.805391 0.025969 -0.800091 0.025164 -0.797655 0.076694 9.8 -0.026870 -3.988119

-0.797624 0.076923 -0.789931 0.127678 -0.784856 0.126253 -0.772373 0.175008 10 -0.813465 -3.861487

-0.772297 0.175222 -0.754775 0.222642 -0.750033 0.220673 -0.728163 0.265685 10.2 -1.565145 -3.640230

-0.728046 0.265881 -0.701458 0.309109 -0.697135 0.306673 -0.666711 0.347195 10.4 -2.263802 -3.332790

-0.666558 0.347371 -0.631821 0.385759 -0.627982 0.382930 -0.589972 0.418407 10.6 -2.893158 -2.948931

-0.589786 0.418561 -0.547930 0.451639 -0.544622 0.448484 -0.500089 0.478518 10.8 -3.438988 -2.499377

-0.499875 0.478651 -0.452010 0.506086 -0.449267 0.502670 -0.399341 0.526985 11 -3.889283 -1.995519

-0.399104 0.527097 -0.346394 0.548664 -0.344237 0.545045 -0.290095 0.563455 11.2 -4.234360 -1.449190

-0.289838 0.563547 -0.233483 0.579100 -0.231928 0.575331 -0.174772 0.587715 11.4 -4.466932 -0.872503

-0.174501 0.587788 -0.115722 0.597232 -0.114777 0.593363 -0.055828 0.599647 11.6 -4.582153 -0.277732

-0.055546 0.599702 0.004424 0.602976 0.004751 0.599054 0.064264 0.598248 11.8 -4.577642 0.322603

0.064521 0.598275 0.124348 0.592752 0.123796 0.588855 0.182292 0.578729 12 -4.453792 0.912639