1 files changed, 39 insertions, 0 deletions
diff --git a/260/CH12/EX12.1/12_1.sce b/260/CH12/EX12.1/12_1.sce
new file mode 100644
index 000000000..2ee6e0e88
--- /dev/null
+++ b/260/CH12/EX12.1/12_1.sce
@@ -0,0 +1,39 @@
+//Eg-12.1
+//pg-507
+
+clear
+clc
+
+x = 2.5;
+h = 0.1;
+
+deff('out = func(in)','out = in^3 -6*in^2 + 11*in -6')
+
+//Forward Difference formulas
+
+f(1) = (func(x+h) - func(x))/h;
+f(2) = (-func(x+2*h)+4*func(x+h)-3*func(x))/(2*h);
+
+//Backward Difference formulas
+
+f(3) = (func(x)-func(x-h))/h;
+f(4) = (3*func(x)-4*func(x-h)+func(x-2*h))/(2*h);
+
+//Central Difference formulas
+
+f(5) = (func(x+h)-f(x-h))/(2*h);
+f(6) = (-func(x+2*h)+8*func(x+h)-8*func(x-h)+func(x-2*h))/(12*h);
+
+
+printf('Value of derivative      Type    Order of error\n') 
+printf('      %f         Forward       1\n',f(1)) 
+printf('      %f         Forward       2\n',f(2)) 
+printf('      %f         Backward      1\n',f(3)) 
+printf('      %f         Backward      2\n',f(4)) 
+printf('      %f         Central       2\n',f(5)) 
+printf('      %f         Central       4\n\n',f(6)) 
+
+printf('The exact value is  -0.25\nNote that the central difference formulas provide the best estimates of the derivative\n')
+
+
+  
+\ No newline at end of file