MA8491 Important Questions Numerical Methods

MA8491 Important Questions Numerical Methods Regulation 2017 Anna University free download. Numerical Methods Important Questions MA8491 pdf free download.

Sample MA8491 Important Questions Numerical Methods:

1. Write down the general quadrature formula for equidistance ordinates. (M/J-16)

2. Write down the forward difference formulae to compute the first two derivates at ???? =????0. (M/J-16)

3. Write down the expression for ???????? ????????????????????=???????? by Newton’s backward difference formula. (M/J-16)

4. Taking h=0.5, evaluate ∫ ???????? using Trapezoidal rule. (M/J-16)(M/J-14) MA8491 Important Questions Numerical Methods

5. State two point Gaussian quadrature formula. (N/D-15)(N/D-12)

6. Evaluate ∫ ???????? by Trapezoidal rule, dividing the range into 4 equal parts. (N/D-15)

7. Find y’(0) from the following table.(A/M-15) x 0 1 y 4 8

8. Using two point Gaussian quadrature formula evaluate???? =???? 4

9. Apply two point Gaussian quadrature formula to evaluate∫ ????−????2 2 ???????? (N/D-15)

10.Under what condition Simpson’s 38

11. Compare Trapezoidal rule and Simpson’s 1/3 rule for evaluating numerical integration. (N/D-16) MA8491 Important Questions Numerical Methods

14. What are the errors in Trapezoidal and Simpson’s rules of numerical integration. (A/M-15)

15. State three point Gaussian quadrature formula. (A/M-15)

16. State the local error term in Simpson’s 1/3 rule. (N/D-14)

17. State Romberg’s integration formula to find the value of I=∫ ????(????)????????
for first two integrals. (N/D-14) at ???? =???????? by Newton’s back ward difference formula. (M/J-14) MA8491 Important Questions Numerical Methods

18. Write down the expression for ???????? ????????

19. State Trapezoidal rule. (N/D-12)

20. A curve passing through the points (1,0), (2,1) and (4,5) Find the slope of the curve at x=3.

12. Write down the standard five point formula. (N/D-16) MA8491 Important Questions Numerical Methods

13. Distinguish between single step methods and multistep methods. (A/M-15)

14. State standard five point formula. (A/M-15)

15. Write down the standard five- point formula to find the numerical solution of Laplace equation. (N/D-14) MA8491 Important Questions Numerical Methods

16. State whether the Crank – Nicolson’s scheme is an explicit or implicit scheme.
Justify. (M/J-14)