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1. PENYELESAIAN PERSAMAAN DIFERENSIAL SIMULTAN MELALUI
PEMROGRAMAN MATLAB
function PTDLcacb
clc
clear
format shortg
global Ca0 Cb0 Q alfa k D b B hs Pa Hb
Ca0=300;
Cb0=9;
Q=3;
alfa=100;
k=0.008;
D=0.01;
b=1;
l=1000;
B=10;
hs=2;
Pa=0.21;
Hb=0.021;
z0=0;
zl=l;
CaCb=[Ca0 Cb0];
[z,CaCb]=ode23(@cacb,[z0:20:zl],CaCb);
hasil=[z CaCb];
Ca=CaCb(:,1);
Cb=CaCb(:,2);
disp(' -----------------------------')
disp(' z Ca Cb ')
disp(' -----------------------------')
disp(hasil)
plotyy(z,Ca,z,Cb)
xlabel('z')
ylabel('Ca')
function dCbCadz=cacb(z,CaCb)
global Q alfa k D b B hs Pa Hb
Ca=CaCb(1);
Cb=CaCb(2);
kl=b.*((D.*Q./(B.*hs)).^0.5);
Cbstar=Pa./Hb;
W=10+0.0005.*z-5e-8.*(z.^2);
dCadz=W./Q-k.*Ca.*Cb.*B.*hs./(Q.*(Ca+alfa));
dCbdz=kl.*(Cbstar-Cb).*B./Q-k.*Ca.*Cb.*B.*hs./(Q.*(Ca+alfa));
dCbCadz=[dCadz dCbdz]';

2. HASIL RUNNING
-----------------------------
z Ca Cb
-----------------------------
0 300 9
20 360.16 7.6153
40 420.51 7.5131
60 480.81 7.4616
80 541.07 7.4248
100 601.31 7.3949
120 661.54 7.361
140 721.78 7.3444
160 782.04 7.3275
180 842.31 7.3007
200 902.61 7.29
220 962.95 7.2912
240 1023.3 7.261
260 1083.7 7.2536
280 1144.2 7.2584
300 1204.6 7.2396
320 1265.2 7.2261
340 1325.7 7.2287
360 1386.4 7.2273
380 1447 7.2075
400 1507.7 7.2051
420 1568.5 7.2137
440 1629.3 7.1984
460 1690.2 7.1873
480 1751.1 7.1951
500 1812 7.1937
520 1873 7.1772
540 1934.1 7.177
560 1995.2 7.1866
580 2056.4 7.1743
600 2117.6 7.1635
620 2178.9 7.1729
640 2240.2 7.1734
660 2301.5 7.158
680 2363 7.158
700 2424.5 7.1687
720 2486 7.1589
740 2547.6 7.1474
760 2609.2 7.1567
780 2670.9 7.1599
800 2732.6 7.1454
820 2794.4 7.1439
840 2856.2 7.1555
860 2918.1 7.1485
880 2980.1 7.1359
900 3042.1 7.1442
920 3104.1 7.1503
940 3166.2 7.1369
960 3228.3 7.133
980 3290.6 7.145
1000 3352.8 7.1356

3. GRAFIK
0 100 200 300 400 500 600 700 800 900 1000
0
1000
2000
3000
4000
z
Ca
0 100 200 300 400 500 600 700 800 900 1000
7
7.5
8
8.5
9