Numerical methods Objective test

f(x)-f(x-h)=

• $\Delta f\left(x\right)$

• $\nabla f\left(x\right)$

• E(x)

• none

Backward difference operator pronounced as

• delta

• lamda

• nabla

• alpha

 $\Delta^2y_0=$  

•  $\Delta y_1-\Delta y_0$  

•  $\Delta y_0-\Delta y_1$  

•  $\Delta^2y_1-\Delta^2y_0$  

•  $\Delta y_1+\Delta y_0$  

∆2^x=…………….

• 2^(x+h)-2^x

• 2^(x+h)

• 2^(x-h)-2^x

• 2^(x-h)

In numerical integration the width of the sub intervals is given by

• $h=\frac{x_n-x_0}{n}$

• $h=\frac{x_n+x_0}{n}$

• $h=\frac{x_0-x_n}{n}$

• none of thesse

Simpson’s 1/3 rule is applicable for five ordinates.

• True

• False

Given   $\frac{\text{d}y}{\text{d}x}=1-y,\ y\left(0\right)=0$   using a step size of h=0.1 , the value of  y(0.2) using Euler’s method is most  nearly  

•   0.1                      

•   0.119    

• 0.19

• 0.01

Newton-Raphson method is also called as

• Method of chords

• Method of tangents

• halving method

• succesive approximation method

Order of convergence of Regula falsi method is

• 1.618

• 1.168

• 1.681

• 1.816

Error in trapezoidal rule is of order

• h

• h²

• h³

• h⁴