MA8491 Important 16 Marks Questions Numerical Methods

MA8491 Important 16 Marks Questions Numerical Methods Regulation 2017 Anna University free download. Numerical Methods Important 16 Marks Questions MA8491 pdf free download.

Sample MA8491 Important 16 Marks Questions Numerical Methods:

1. Find the positive root of x4 – x = 10 correct to three decimal places using
Newton – Raphson method. [A.U MAY 1996, A.U A/M 2010]
2. Using Newton iterative method find the root between 0 & 1 of x3 = 6x – 4 correct to
two places. [A.U MAY 2000, A.U M/J 2008] MA8491 Important 16 Marks Questions Numerical Methods
3. Find the real positive root of 3x – cosx – 1 = 0 by newton method coprrect to 6 decimal
places. [A.U 2015, A.U M/J 2007, N/D 2009]
4. Find a root of xlog10x – 1.2 = 0 by N – R method correct to 3 decimal places.
[A.U N/D 2015, M/J 2007, M/J 2010, N/D 2010] MA8491 Important 16 Marks Questions Numerical Methods
5. Obtain newton iterative formula for finding root N . where N is a positive real number.
Hence evaluate root of 142. [A.U MAY 1999]
6. Solve the following system of equations by Gauss – Jordon method.
10x+y+z = 12, 2x+10y+z =13, x+y+5z =7 [A.U A/M 2008, M/J 2010, N/D 2014]
7. Solve the following system of equations by Gauss – Jacobi method.
27x+6y-z = 85, x+y+54z =110, 6x+15y+2z =72 [A.U A/M 2009, M/J 2006, M/J 2010]
8. Solve the following system of equations by Gauss – Jacobi Gauss – Seidel method. 20x+y-2z = 17, 3x+20y-z = -18, 2x-3y+20z =25 MA8491 Important 16 Marks Questions Numerical Methods

5.Apply Milne’s method, to find a solution of the differential equation 2 x y
dx
dy
  at x = 0.8,
given the values. Use Taylor series method to find y(0.1),y(0.2) and y(0.3). (A.U,2013,2011)
6. Using R.K method ,solve y’’=y+xy’, y(0)=1,y’(0)=0 to find y(0.2) and y’(0.2). (A.U
2015,2014,2013,2010)
7. Consider the initial value problem 1, 0 0.5 2  y  x  y 
dx MA8491 Important 16 Marks Questions Numerical Methods
dy
(A.U 2015,2014,2013,2011)
(i) Using the modified Euler’s Method ,find y(0.2)
(ii)Using 4th order R-K method find y(0.4) and y(0.
(iii) Using Adam’s Bashforth Method.to find y(0.8)

4. Solve ut=uxx in 0<x<5, t>0 given that U(x.0)= x2(25-x2) , U(0,t)=0=U(5,t) .compute u upto
t=2 with  x 1 by using Bender Smith formula.