3 files changed, 63 insertions, 0 deletions
diff --git a/191/CH3/EX3.1/Example3_1.sce b/191/CH3/EX3.1/Example3_1.sce
new file mode 100755
index 000000000..5a09ca883
--- /dev/null
+++ b/191/CH3/EX3.1/Example3_1.sce
@@ -0,0 +1,35 @@
+//Bisection Method
+clc;
+clear;
+close();
+format('v',9);
+b(1)=1;a(1)=0;k=5;
+deff('[fx]=bisec(x)','fx =(x+1).^2.*exp(x.^2-2)-1');
+x = linspace(0,1);
+plot(x,((x+1).^2).*(exp(x.^2-2))-1);
+//in interval [0,1]changes its sign thus has a root
+//k = no of decimal place of accuracy
+//a = lower limit of interval
+//b = upper limit of interval
+//n = no of iterations required
+n = log2((10^k)*(b-a));
+n = ceil(n);
+disp(n,'Number of iterations : ')
+for i = 1:n-1
+    N(i) = i;
+    c(i) = (a(i)+b(i))/2;
+    bs(i) = bisec(c(i));
+    if (bisec(b(i))*bisec(c(i))<0)
+        a(i+1)=c(i);
+        b(i+1)=b(i);
+    else
+        b(i+1)=c(i);
+        a(i+1)=a(i);
+    end
+end
+N(i+1)=i+1;
+c(i+1) = (a(i+1)+b(i+1))/2;
+bs(i+1) = bisec(c(i));
+ann = [N a b c bs];
+disp(ann , 'The Table : ');
+disp(c(i),'The root of the function is : ')
+\ No newline at end of file
diff --git a/191/CH3/EX3.1/Figure3_1.png b/191/CH3/EX3.1/Figure3_1.png
new file mode 100755
index 000000000..55872eef9
--- /dev/null
+++ b/191/CH3/EX3.1/Figure3_1.png
diff --git a/191/CH3/EX3.1/Result3_1.txt b/191/CH3/EX3.1/Result3_1.txt
new file mode 100755
index 000000000..c78d978b7
--- /dev/null
+++ b/191/CH3/EX3.1/Result3_1.txt
@@ -0,0 +1,28 @@
+  
+ Number of iterations :    
+ 
+    17.  
+ 
+ The Table :    
+ 
+    1.     0.          1.          0.5       - 0.609009  
+    2.     0.5         1.          0.75      - 0.272592  
+    3.     0.75        1.          0.875       0.023105  
+    4.     0.75        0.875       0.8125    - 0.139662  
+    5.     0.8125      0.875       0.84375   - 0.062448  
+    6.     0.84375     0.875       0.859375  - 0.020775  
+    7.     0.859375    0.875       0.867188    0.000881  
+    8.     0.859375    0.867188    0.863281  - 0.010017  
+    9.     0.863281    0.867188    0.865234  - 0.004585  
+    10.    0.865234    0.867188    0.866211  - 0.001857  
+    11.    0.866211    0.867188    0.866699  - 0.000489  
+    12.    0.866699    0.867188    0.866943    0.000196  
+    13.    0.866699    0.866943    0.866821  - 0.000147  
+    14.    0.866821    0.866943    0.866882    0.000025  
+    15.    0.866821    0.866882    0.866852  - 0.000061  
+    16.    0.866852    0.866882    0.866867  - 0.000018  
+    17.    0.866867    0.866882    0.866875  - 0.000018  
+ 
+ The root of the function is :    
+ 
+    0.866867  
+\ No newline at end of file