1 files changed, 50 insertions, 0 deletions
diff --git a/260/CH13/EX13.13/13_13.sce b/260/CH13/EX13.13/13_13.sce
new file mode 100644
index 000000000..6d2c5dff4
--- /dev/null
+++ b/260/CH13/EX13.13/13_13.sce
@@ -0,0 +1,50 @@
+//Eg-13.13
+//pg-554
+
+clear
+clc
+
+y(1) = 1;
+
+deff('out = func(in1,in2)','out = 1-in1+4*in2')
+
+h = 0.1;
+
+//The index again is 1-11 instead of 0-10
+
+for(i = 1:11)
+    
+    x(i) = 0 + (i-1)*h;
+    
+end
+
+a = (2^0.5-1)/2;
+b = (2-2^0.5)/2;
+c = -(2^0.5)/2;
+d = 1 + (2^0.5)/2;
+
+
+for(i = 1)
+    k1(i) = h*func(x(i),y(i));
+    k2(i) = h*func(x(i)+h/2,y(i)+k1(i)/2);
+    k3(i) = h*func(x(i)+h/2,y(i)+a*k1(i)+b*k2(i));
+    k4(i) = h*func(x(i)+h,y(i)+c*k2(i)+d*k3(i));
+    y(i+1) = y(i) + 1/6*(k1(i)+2*b*k2(i)+2*d*k3(i)+k4(i));
+end
+
+printf('The solution is summarized as :\n')
+printf('   x            y\n')
+for(i = 1:2)
+    
+    printf('%f    %f\n',x(i),y(i))
+
+end
+//we take x(1) = 0 and x(2) = 0.1, y(1) = 1 and y(2) = 1.608933
+
+h = 0.1;
+
+for(i = 3:5)
+    yb(i) = y(i-2) + 2*0.1*func(x(i-1),y(i-1));
+    y(i) = y(i-1) + 0.1/2*(func(x(i-1),y(i-1)) + func(x(i),yb(i)))
+    printf('%f    %f\n',x(i),y(i))
+end