clc;clear;xdel(winsid());// Initializing variablesh = 0.03;x = 0.05;

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</div> <div class="info-bottom"> <div class="username"> <a href="/u/ayurchyk1998">ayurchyk1998</a> </div> <a href="/message/compose?to=ayurchyk1998" class="message" title="Send a private message to: ayurchyk1998"></a> <div class="date"> <span title="Wednesday 3rd of February 2021 04:52:28 AM CDT">Feb 3rd, 2021</span> </div> <div class="visits" title="Unique visits to this paste"> 2,411 </div> <div class="rating js-post-rating" data-key="7T7UMEJz" title="Rating"> 0 </div> <div class="expire" title="When this paste gets automatically deleted"> Never </div> <div class="comments-info" title="Comments"> <a href="/login?return_url=%2F7T7UMEJz%23add_comment">Add comment</a> </div> </div> </div> </div> <div class="page"> <div class="content__text -no-padding"> <div class="notice -post-view"> <b>Not a member of Pastebin yet?</b> <a href="/signup"><b><u>Sign Up</u></b></a>, it unlocks many cool features! </div> </div> </div> <div class="highlighted-code"> <div class="top-buttons"> <div class="left"> <a href="/archive/scilab" class="btn -small h_800">Scilab</a> 1.89 KB <span title="Category"> | None </span> | <a class="btn -small -like" href="/login?return_url=%2F7T7UMEJz" title="Like" data-rating="1" data-key="7T7UMEJz">0</a> <a class="btn -small -dislike" href="/login?return_url=%2F7T7UMEJz" title="Dislike" data-rating="-1" data-key="7T7UMEJz">0</a> </div> <div class="right"> <a href="/raw/7T7UMEJz" class="btn -small">raw</a> <a href="/dl/7T7UMEJz" class="btn -small">download</a> <a href="/clone/7T7UMEJz" class="btn -small h_800">clone</a> <a href="/embed/7T7UMEJz" class="btn -small h_800">embed</a> <a href="/print/7T7UMEJz" class="btn -small h_800">print</a> <a href="/report/7T7UMEJz" class="btn -small">report</a> </div> </div> <div class="source scilab" style="font-size: px; line-height: px;"> <ol class="scilab"><li class="li1"><div class="de1"><span class="kw3">clc</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"><span class="kw3">clear</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"><span class="kw3">xdel</span><span class="br0">(</span><span class="kw3">winsid</span><span class="br0">(</span><span class="br0">)</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"><span class="co1">// Initializing variables</span></div></li> <li class="li1"><div class="de1">h <span class="sy0">=</span> <span class="nu0">0.03</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1">x <span class="sy0">=</span> <span class="nu0">0.05</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1">y <span class="sy0">=</span> <span class="nu0">1</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1">z <span class="sy0">=</span> <span class="nu0">0.01</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1">xt <span class="sy0">=</span> <span class="nu0">0.1</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1">yt <span class="sy0">=</span> <span class="nu0">0.2</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1">zt <span class="sy0">=</span> <span class="nu0">0.3</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"><span class="co1">// Start values equals zero</span></div></li> <li class="li1"><div class="de1"><span class="kw1">for</span> a <span class="sy0">=</span> <span class="nu0">1</span><span class="sy0">:</span><span class="nu0">2000</span></div></li> <li class="li1"><div class="de1"> x_st <span class="sy0">=</span> <span class="nu0">0</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> y_st <span class="sy0">=</span> <span class="nu0">0</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> z_st <span class="sy0">=</span> <span class="nu0">0</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> xt_st <span class="sy0">=</span> <span class="nu0">0</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> yt_st <span class="sy0">=</span> <span class="nu0">0</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> zt_st <span class="sy0">=</span> <span class="nu0">0</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"><span class="kw1">end</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"><span class="co1">// myval equals zero in all dimensions</span></div></li> <li class="li1"><div class="de1"><span class="kw1">for</span> i <span class="sy0">=</span> <span class="nu0">1</span><span class="sy0">:</span><span class="nu0">2000</span></div></li> <li class="li1"><div class="de1"> <span class="kw1">for</span> j <span class="sy0">=</span> <span class="nu0">1</span><span class="sy0">:</span><span class="nu0">3</span></div></li> <li class="li1"><div class="de1">    myvalue <span class="sy0">=</span> <span class="nu0">0</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> <span class="kw1">end</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"><span class="kw1">end</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"><span class="co1">// Using RK4 method to solve equations for 2000 points</span></div></li> <li class="li1"><div class="de1"><span class="kw1">for</span> i <span class="sy0">=</span> <span class="nu0">1</span><span class="sy0">:</span><span class="nu0">2000</span></div></li> <li class="li1"><div class="de1"> myvalue<span class="br0">(</span>i<span class="sy0">,</span><span class="nu0">1</span><span class="br0">)</span> <span class="sy0">=</span> y <span class="sy0">*</span> z<span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> myvalue<span class="br0">(</span>i<span class="sy0">,</span><span class="nu0">2</span><span class="br0">)</span> <span class="sy0">=</span> x <span class="sy0">-</span> y<span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> myvalue<span class="br0">(</span>i<span class="sy0">,</span><span class="nu0">3</span><span class="br0">)</span> <span class="sy0">=</span> <span class="nu0">1</span> <span class="sy0">-</span> x^<span class="nu0">2</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"> kx1 <span class="sy0">=</span> h<span class="sy0">*</span><span class="br0">(</span>y <span class="sy0">*</span> z<span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> ky1 <span class="sy0">=</span> h<span class="sy0">*</span><span class="br0">(</span>x <span class="sy0">-</span> y<span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> kz1 <span class="sy0">=</span> h<span class="sy0">*</span><span class="br0">(</span><span class="nu0">1</span> <span class="sy0">-</span> x^<span class="nu0">2</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"> kx2 <span class="sy0">=</span> h<span class="sy0">*</span><span class="br0">(</span><span class="br0">(</span>y<span class="sy0">+</span>ky1<span class="br0">)</span><span class="sy0">/</span><span class="nu0">2</span> <span class="sy0">*</span> <span class="br0">(</span>z<span class="sy0">+</span>kz1<span class="br0">)</span><span class="sy0">/</span><span class="nu0">2</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> ky2 <span class="sy0">=</span> h<span class="sy0">*</span><span class="br0">(</span><span class="br0">(</span>x<span class="sy0">+</span>kx1<span class="br0">)</span><span class="sy0">/</span><span class="nu0">2</span> <span class="sy0">-</span> <span class="br0">(</span><span class="br0">(</span>y<span class="sy0">+</span>ky1<span class="br0">)</span><span class="sy0">/</span><span class="nu0">2</span><span class="br0">)</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> kz2 <span class="sy0">=</span> h<span class="sy0">*</span><span class="br0">(</span><span class="nu0">1</span> <span class="sy0">-</span> <span class="br0">(</span><span class="br0">(</span>x<span class="sy0">+</span>kx1<span class="br0">)</span>^<span class="nu0">2</span><span class="br0">)</span><span class="sy0">/</span><span class="nu0">2</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"> kx3 <span class="sy0">=</span> h<span class="sy0">*</span><span class="br0">(</span><span class="br0">(</span>y<span class="sy0">+</span>ky2<span class="br0">)</span><span class="sy0">/</span><span class="nu0">2</span> <span class="sy0">*</span> <span class="br0">(</span>z<span class="sy0">+</span>kz2<span class="br0">)</span><span class="sy0">/</span><span class="nu0">2</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> ky3 <span class="sy0">=</span> h<span class="sy0">*</span><span class="br0">(</span><span class="br0">(</span>x<span class="sy0">+</span>kx2<span class="br0">)</span><span class="sy0">/</span><span class="nu0">2</span> <span class="sy0">-</span> <span class="br0">(</span><span class="br0">(</span>y<span class="sy0">+</span>ky2<span class="br0">)</span><span class="sy0">/</span><span class="nu0">2</span><span class="br0">)</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> kz3 <span class="sy0">=</span> h<span class="sy0">*</span><span class="br0">(</span><span class="nu0">1</span> <span class="sy0">-</span> <span class="br0">(</span><span class="br0">(</span>x<span class="sy0">+</span>kx2<span class="br0">)</span>^<span class="nu0">2</span><span class="br0">)</span><span class="sy0">/</span><span class="nu0">2</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"> kx4 <span class="sy0">=</span> h<span class="sy0">*</span><span class="br0">(</span><span class="br0">(</span>y<span class="sy0">+</span>ky3<span class="br0">)</span> <span class="sy0">*</span> <span class="br0">(</span>z<span class="sy0">+</span>kz3<span class="br0">)</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> ky4 <span class="sy0">=</span> h<span class="sy0">*</span><span class="br0">(</span><span class="br0">(</span>x<span class="sy0">+</span>kx3<span class="br0">)</span> <span class="sy0">-</span> <span class="br0">(</span>y<span class="sy0">+</span>ky3<span class="br0">)</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> kz4 <span class="sy0">=</span> h<span class="sy0">*</span><span class="br0">(</span><span class="nu0">1</span> <span class="sy0">-</span> <span class="br0">(</span><span class="br0">(</span>z<span class="sy0">+</span>kz3<span class="br0">)</span>^<span class="nu0">2</span><span class="br0">)</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"> xt <span class="sy0">=</span> <span class="br0">(</span>kx1<span class="sy0">+</span><span class="nu0">2</span><span class="sy0">*</span>kx2<span class="sy0">+</span><span class="nu0">2</span><span class="sy0">*</span>kx3<span class="sy0">+</span>kx4<span class="br0">)</span><span class="sy0">/</span><span class="nu0">6</span> <span class="sy0">+</span> xt<span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> yt <span class="sy0">=</span> <span class="br0">(</span>ky1<span class="sy0">+</span><span class="nu0">2</span><span class="sy0">*</span>ky2<span class="sy0">+</span><span class="nu0">2</span><span class="sy0">*</span>ky3<span class="sy0">+</span>ky4<span class="br0">)</span><span class="sy0">/</span><span class="nu0">6</span> <span class="sy0">+</span> yt<span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> zt <span class="sy0">=</span> <span class="br0">(</span>kz1<span class="sy0">+</span><span class="nu0">2</span><span class="sy0">*</span>kz2<span class="sy0">+</span><span class="nu0">2</span><span class="sy0">*</span>kz3<span class="sy0">+</span>kz4<span class="br0">)</span><span class="sy0">/</span><span class="nu0">6</span> <span class="sy0">+</span> zt<span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"> xt_st<span class="br0">(</span>i<span class="br0">)</span> <span class="sy0">=</span> xt<span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> yt_st<span class="br0">(</span>i<span class="br0">)</span> <span class="sy0">=</span> yt<span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> zt_st<span class="br0">(</span>i<span class="br0">)</span> <span class="sy0">=</span> zt<span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"> x_st<span class="br0">(</span>i<span class="br0">)</span> <span class="sy0">=</span> x<span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> y_st<span class="br0">(</span>i<span class="br0">)</span> <span class="sy0">=</span> y<span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> z_st<span class="br0">(</span>i<span class="br0">)</span> <span class="sy0">=</span> z<span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"> x <span class="sy0">=</span> x <span class="sy0">+</span> h<span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> y <span class="sy0">=</span> y <span class="sy0">+</span> h<span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> z <span class="sy0">=</span> z <span class="sy0">+</span> h<span class="sy0">;</span></div></li> <li class="li1"><div class="de1"><span class="kw1">end</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"><span class="kw3">plot</span><span class="br0">(</span>x_st<span class="sy0">,</span> xt_st<span class="sy0">,</span> <span class="st_h">'g*-'</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"><span class="kw3">plot</span><span class="br0">(</span>y_st<span class="sy0">,</span> yt_st<span class="sy0">,</span> <span class="st_h">'b*-'</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"><span class="kw3">plot</span><span class="br0">(</span>z_st<span class="sy0">,</span> zt_st<span class="sy0">,</span> <span class="st_h">'r*-'</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1">h1 <span class="sy0">=</span> <span class="kw3">legend</span><span class="br0">(</span><span class="br0">[</span><span class="st_h">'X(t)'</span><span class="sy0">;</span> <span class="st_h">'Y(t)'</span><span class="sy0">;</span> <span class="st_h">'Z(t)'</span><span class="br0">]</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1">ylabel<span class="br0">(</span><span class="st0">"t"</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"><span class="kw3">figure</span><span class="br0">(</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"><span class="kw3">param3d</span><span class="br0">(</span>xt_st<span class="sy0">,</span> yt_st<span class="sy0">,</span> zt_st<span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1">h1<span class="sy0">=</span><span class="kw3">legend</span><span class="br0">(</span><span class="br0">[</span><span class="st_h">'X(t) = f(Y(t), Z(t))'</span><span class="br0">]</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"><span class="co1">//graphs after compression</span></div></li> <li class="li1"><div class="de1">minValue <span class="sy0">=</span> <span class="kw3">min</span><span class="br0">(</span>xt_st<span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1">maxValue <span class="sy0">=</span> <span class="kw3">max</span><span class="br0">(</span>yt_st<span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"><span class="kw1">for</span> i <span class="sy0">=</span> <span class="nu0">1</span><span class="sy0">:</span><span class="nu0">2000</span></div></li> <li class="li1"><div class="de1"> xt_st<span class="br0">(</span>i<span class="br0">)</span> <span class="sy0">=</span> <span class="br0">(</span><span class="br0">(</span>xt_st<span class="br0">(</span>i<span class="br0">)</span><span class="sy0">-</span>minValue<span class="br0">)</span> <span class="sy0">*</span> <span class="nu0">2</span><span class="br0">)</span><span class="sy0">/</span><span class="br0">(</span>maxValue<span class="sy0">-</span>minValue<span class="br0">)</span> <span class="sy0">-</span> <span class="nu0">1</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> yt_st<span class="br0">(</span>i<span class="br0">)</span> <span class="sy0">=</span> <span class="br0">(</span><span class="br0">(</span>yt_st<span class="br0">(</span>i<span class="br0">)</span><span class="sy0">-</span>minValue<span class="br0">)</span> <span class="sy0">*</span> <span class="nu0">2</span><span class="br0">)</span><span class="sy0">/</span><span class="br0">(</span>maxValue<span class="sy0">-</span>minValue<span class="br0">)</span> <span class="sy0">-</span> <span class="nu0">1</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> zt_st<span class="br0">(</span>i<span class="br0">)</span> <span class="sy0">=</span> <span class="br0">(</span><span class="br0">(</span>zt_st<span class="br0">(</span>i<span class="br0">)</span><span class="sy0">-</span>minValue<span class="br0">)</span> <span class="sy0">*</span> <span class="nu0">2</span><span class="br0">)</span><span class="sy0">/</span><span class="br0">(</span>maxValue<span class="sy0">-</span>minValue<span class="br0">)</span> <span class="sy0">-</span> <span class="nu0">1</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"> <span class="kw1">if</span> i <span class="sy0"><</span> <span class="nu0">51</span></div></li> <li class="li1"><div class="de1">     <span class="kw3">mprintf</span><span class="br0">(</span><span class="st0">"x(t) = %f, y(t) = %f, z(t) = %f<span class="es0">\n</span>"</span><span class="sy0">,</span> xt_st<span class="br0">(</span>i<span class="br0">)</span><span class="sy0">,</span> yt_st<span class="br0">(</span>i<span class="br0">)</span><span class="sy0">,</span> zt_st<span class="br0">(</span>i<span class="br0">)</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> <span class="kw1">end</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"><span class="kw1">end</span></div></li> <li class="li1"><div class="de1"><span class="kw3">figure</span><span class="br0">(</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"><span class="kw3">plot</span><span class="br0">(</span>x_st<span class="sy0">,</span> xt_st<span class="sy0">,</span><span class="st_h">'g*-'</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"><span class="kw3">plot</span><span class="br0">(</span>y_st<span class="sy0">,</span> yt_st<span class="sy0">,</span><span class="st_h">'b*-'</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"><span class="kw3">plot</span><span class="br0">(</span>z_st<span class="sy0">,</span> zt_st<span class="sy0">,</span><span class="st_h">'r*-'</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1">h1<span class="sy0">=</span><span class="kw3">legend</span><span class="br0">(</span><span class="br0">[</span><span class="st_h">'X(t)'</span><span class="sy0">;</span> <span class="st_h">'Y(t)'</span><span class="sy0">;</span> <span class="st_h">'Z(t)'</span><span class="br0">]</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1">ylabel<span class="br0">(</span><span class="st0">"t"</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"> </div></li> <li class="li1"><div class="de1"><span class="kw3">figure</span><span class="br0">(</span><span class="br0">)</span><span class="sy0">;</span></div></li> <li class="li1"><div class="de1"><span class="kw3">param3d</span><span class="br0">(</span>xt_st<span class="sy0">,</span> yt_st<span class="sy0">,</span> zt_st<span class="br0">)</span><span class="sy0">;</span></div></li> </ol> </div> </div>  <div style="padding-bottom:10px; padding-top:10px;"> <div style="color: #999; font-size: 12px; text-align: center;">Advertisement</div> <div class="adsbyvli" style="width:970px; height:250px" data-ad-slot="vi_1282567605"></div> <script>(vitag.Init = window.vitag.Init || 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