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Physics-AQ木虫 (著名写手)
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[求助]
用高版本1stOpt求解方程组
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| 谁有有高版本的1stOpt，帮小女子解一下这个方程组，谢谢~~~ |
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Physics-AQ
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7楼2015-06-14 20:29:01
78506174
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2楼2015-06-12 23:19:52
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Title "Type your title here"; LoopConstant r=[-1.5:0.001:0]; Parameter ph[0,1.5],p0[0,1.5]; Function -1/125*(13*(-36*p0^2-15*r)^(1/2)*p0^3-35*r*(-36*p0^2-15*r)^(1/2)*p0-125*(-36*p0^2-15*r)^(1/2)*p0+2304*p0^4+1200*r*p0^2+100*r^2)/(-36*p0^2-15*r)^(1/2)=r*ph+ph^3+ph; -13/500*p0^4+7/50*r*p0^2+1/2*p0^2-1/10*r^2+16/125*(-36*p0^2-15*r)^(1/2)*p0^3+4/75*r*(-36*p0^2-15*r)^(1/2)*p0-p0*(-1/125*(13*(-36*p0^2-15*r)^(1/2)*p0^3-35*r*(-36*p0^2-15*r)^(1/2)*p0-125*(-36*p0^2-15*r)^(1/2)*p0+2304*p0^4+1200*r*p0^2+100*r^2)/(-36*p0^2-15*r)^(1/2))=1/2*r*ph^2+1/4*ph^4+1/2*ph^2-ph*(r*ph+ph^3+ph); -36*p0^2-15*r>=0; |
3楼2015-06-13 10:44:39
dingd
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减少计算量，变化步长由“0.001”改为“0.01”，还有最后一个点“r=0”时无解： Loop constant r ph p0 -1.5 0.993952650085214 0.514856079839863 -1.49 0.989984919325015 0.513895179934226 -1.48 0.986004355433954 0.512929752428424 -1.47 0.98201085045185 0.511959731654256 -1.46 0.978004295083962 0.510985050495852 -1.45 0.973984578680447 0.510005640347945 -1.44 0.969951589215411 0.509021431072648 -1.43 0.965905213265577 0.508032350954695 -1.42 0.961845335988561 0.507038326655104 -1.41 0.957771841100707 0.506039283163132 -1.4 0.953684610854511 0.50503514374651 -1.39 0.949583526015592 0.504025829899838 -1.38 0.945468465839222 0.503011261291113 -1.37 0.941339308046371 0.501991355706256 -1.36 0.937195928799273 0.500966028991562 -1.35 0.933038202676491 0.499935194994021 -1.34 0.928866002647474 0.498898765499373 -1.33 0.924679200046547 0.497856650167789 -1.32 0.92047766454638 0.496808756467124 -1.31 0.916261264130856 0.495754989603569 -1.3 0.912029865067345 0.49469525244964 -1.29 0.907783331878371 0.493629445469341 -1.28 0.903521527312593 0.492557466640365 -1.27 0.899244312315151 0.491479211373261 -1.26 0.894951545997275 0.490394572427326 -1.25 0.890643085605181 0.489303439823165 -1.24 0.886318786488177 0.488205700751678 -1.23 0.881978502065975 0.487101239479366 -1.22 0.87762208379515 0.485989937249735 -1.21 0.873249381134717 0.484871672180639 -1.2 0.868860241510769 0.483746319157335 -1.19 0.864454510280136 0.482613749721069 -1.18 0.860032030693008 0.481473831952945 -1.17 0.855592643854473 0.480326430352865 -1.16 0.851136188684882 0.479171405713247 -1.15 0.84666250187902 0.478008614987331 -1.14 0.842171417863971 0.476837911151724 -1.13 0.837662768755601 0.475659143062908 -1.12 0.833136384313613 0.474472155307437 -1.11 0.82859209189503 0.473276788045427 -1.1 0.824029716406052 0.472072876847044 -1.09 0.819449080252128 0.470860252521557 -1.08 0.814850003286196 0.469638740938645 -1.07 0.810232302754895 0.468408162841435 -1.06 0.805595793242631 0.467168333650891 -1.05 0.800940286613395 0.465919063261087 -1.04 0.796265591950066 0.464660155824767 -1.03 0.791571515491145 0.463391409528797 -1.02 0.786857860564615 0.46211261635879 -1.01 0.782124427518774 0.460823561852379 -1 0.777371013649831 0.459524024840509 -0.99 0.772597413125917 0.45821377717592 -0.98 0.767803416907357 0.456892583448262 -0.97 0.762988812662823 0.455560200684911 -0.96 0.75815338468107 0.454216378036706 -0.95 0.753296913777901 0.452860856447701 -0.94 0.748419177197935 0.451493368307915 -0.929999999999999 0.743519948510837 0.450113637088152 -0.919999999999999 0.738598997501434 0.448721376955658 -0.909999999999999 0.733656090053334 0.447316292369572 -0.899999999999999 0.728690988025342 0.445898077654731 -0.889999999999999 0.723703449120244 0.444466416552663 -0.879999999999999 0.71869322674514 0.443020981748153 -0.869999999999999 0.713660069862688 0.441561434369884 -0.859999999999999 0.708603722832431 0.440087423463464 -0.849999999999999 0.703523925241364 0.438598585435033 -0.839999999999999 0.698420411722743 0.437094543463471 -0.829999999999999 0.693292911762126 0.435574906879133 -0.819999999999999 0.688141149489502 0.434039270506884 -0.809999999999999 0.682964843456219 0.432487213970919 -0.799999999999999 0.677763706395381 0.430918300958846 -0.789999999999999 0.672537444964126 0.429332078442063 -0.779999999999999 0.667285759466216 0.427728075849514 -0.769999999999999 0.662008343553031 0.4261058041914 -0.759999999999999 0.656704883901011 0.42446475512931 -0.749999999999999 0.65137505986329 0.422804399988861 -0.739999999999999 0.646018543093158 0.421124188710704 -0.729999999999999 0.640634997136572 0.419423548735217 -0.719999999999999 0.635224076990924 0.417701883816118 -0.709999999999999 0.629785428626609 0.415958572757382 -0.699999999999999 0.624318688468001 0.414192968067843 -0.689999999999999 0.618823482829751 0.412404394526949 -0.679999999999999 0.613299427304093 0.410592147654858 -0.669999999999999 0.607746126094314 0.408755492079241 -0.659999999999999 0.602163171289006 0.406893659790579 -0.649999999999999 0.596550142071244 0.405005848276994 -0.639999999999999 0.590906603856011 0.403091218528632 -0.629999999999999 0.585232107348758 0.401148892901082 -0.619999999999999 0.579526187516823 0.39917795282577 -0.609999999999999 0.573788362464865 0.397177436354597 -0.599999999999999 0.568018132204232 0.39514633552454 -0.589999999999999 0.562214977305105 0.393083593526619 -0.579999999999999 0.556378357419067 0.390988101662194 -0.569999999999999 0.550507709658125 0.388858696067595 -0.559999999999999 0.544602446814679 0.386694154186337 -0.549999999999999 0.538661955405045 0.384493190965952 -0.539999999999999 0.532685593516954 0.382254454753973 -0.529999999999999 0.526672688439275 0.379976522865248 -0.519999999999999 0.520622534049002 0.377657896789066 -0.509999999999999 0.514534387927836 0.37529699700182 -0.499999999999999 0.508407468177034 0.372892157346934 -0.489999999999999 0.502240949894621 0.370441618938964 -0.479999999999999 0.496033961274887 0.367943523544574 -0.469999999999999 0.48978557928427 0.365395906387188 -0.459999999999999 0.483494824861014 0.362796688315319 -0.449999999999999 0.477160657579508 0.360143667268592 -0.439999999999999 0.470781969710388 0.357434508965665 -0.429999999999999 0.464357579598323 0.354666736730004 -0.419999999999999 0.457886224266908 0.351837720357675 -0.409999999999999 0.451366551146609 0.348944663919269 -0.399999999999999 0.44479710880472 0.345984592372693 -0.389999999999999 0.438176336537265 0.342954336847006 -0.379999999999999 0.431502552658805 0.339850518436336 -0.369999999999999 0.424773941298884 0.336669530319758 -0.359999999999999 0.417988537479888 0.33340751799382 -0.349999999999999 0.411144210211228 0.330060357370924 -0.339999999999999 0.404238643284565 0.326623630453807 -0.329999999999999 0.397269313396826 0.323092598248449 -0.319999999999999 0.3902334651526 0.319462170513432 -0.309999999999999 0.383128082408684 0.315726871869344 -0.299999999999999 0.375949855309697 0.311880803693936 -0.289999999999999 0.368695142225587 0.307917601110973 -0.279999999999999 0.361359925623119 0.303830384223962 -0.269999999999999 0.353939760681595 0.299611702551004 -0.259999999999999 0.346429715176409 0.295253471359841 -0.249999999999999 0.338824298783732 0.290746898263881 -0.239999999999999 0.331117379485634 0.286082398003758 -0.229999999999999 0.323302084113142 0.281249492728881 -0.219999999999999 0.315370679237466 0.276236694306122 -0.209999999999999 0.307314427486376 0.271031364077965 -0.199999999999999 0.299123412827324 0.265619543978479 -0.189999999999999 0.290786326239452 0.259985750801045 -0.179999999999999 0.282290200232931 0.25411272242969 -0.169999999999999 0.273620076432152 0.247981100538018 -0.159999999999999 0.264758584319497 0.241569028027646 -0.149999999999999 0.255685400174577 0.234851630220197 -0.139999999999999 0.246376541500614 0.227800334745551 -0.129999999999999 0.236803431046723 0.220381963438524 -0.119999999999999 0.226931630726219 0.212557495056746 -0.109999999999999 0.216719090080938 0.204280340933303 -0.0999999999999988 0.206113659435627 0.195493879743133 -0.0899999999999988 0.195049449610554 0.186127826972777 -0.0799999999999988 0.183441306253658 0.176092697312997 -0.0699999999999988 0.171176045095106 0.165270990297589 -0.0599999999999988 0.15809777021967 0.153502393937655 -0.0499999999999988 0.143981507192523 0.140557187363979 -0.0399999999999988 0.128481266029238 0.126083853056798 -0.0299999999999988 0.11101356269839 0.1094916802893 -0.0199999999999988 0.0904387274832363 0.0896299826728447 -0.0099999999999988 0.0638091199440514 0.0635302724697126 |
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