Numerical Integration

Question 1

How do you get ‘n’ from number of ordinates given?

Answer 1

n = ordinates - 1

Question 2

What is the value of ‘h’?

Answer 2

h = (b - a)/n ,where a and b are lower and upper limits on the integral.

Question 3

What is Simpson’s ⅓ rule?

Answer 3

Estimation = h/3 × [y₀ + 4(sum of odd ordinates) + 2(sum of even ordinates) + y_n]

Question 4

What is the trapezoidal rule of estimation?

Answer 4

h/2 × [ y₀ + 2(sum of all ordinates except y₀ and y_n) + y_n ]