1 files changed, 59 insertions, 0 deletions
diff --git a/260/CH13/EX13.15/13_15.sce b/260/CH13/EX13.15/13_15.sce
new file mode 100644
index 000000000..b511cc26b
--- /dev/null
+++ b/260/CH13/EX13.15/13_15.sce
@@ -0,0 +1,59 @@
+//Eg-13.15
+//pg-559
+
+clear
+clc
+
+deff('out = func(in1,in2)','out = 0.5*(1+in1)*in2^2')
+
+x(1) = 0;
+y(1) = 1;
+
+h = 0.001;
+
+n = 0.3/0.001;
+
+for(i = 1:n)
+    x(i+1) = x(i) + 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:n)
+    
+    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('   t          y          F(t,y)\n')
+
+for(i = 0:3)
+    printf('%f    %f    %f\n',x(i*100+1),y(i*100+1),func(x(i*100+1),y(i*100+1)))
+end
+
+//Using equations [61] and [62]
+
+y0 = y(1);
+y1 = y(101);
+y2 = y(201);
+y3 = y(301);
+x0 = x(1);
+x1 = x(101);
+x2 = x(201);
+x3 = x(301);
+x4 = 0.4;
+h = 0.1;
+
+y4b = y0 + 4*h/3*(2*func(x3,y3) - func(x2,y2) + 2*func(x1,y1));
+
+y4 = y2 + h/3*(func(x2,y2) + 4*func(x3,y3) + func(x4,y4b));
+
+printf('\nThe value of y4 = %f\n',y4)
+\ No newline at end of file