NMCT question bank

 NMCT question bank

Numerical method and computational technique (AKU UNIVERSITY)

Note:- The answers of various questions are available on their ralated topic link on this website.

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1.Find the real root of the equation f(X)=X^3-X-1=0 by bisection method upto 5th approximation.

2.Find the real root of the equation 

X^6-X^4-X^3-1 using the method of false position upto four decimal places.

3.Find the real root of the equation logx-cosx-0 by Newton-Raphson method.

4.Write a program in C++/C to convert a decimal number to binary number.

5.Find the inverse of the matrix using Gauss elimination method

       4    1    2

       2    3   -1

       1   -2   2     .

6.Write a algorithm of Jacobi iteration method.

7.Write a program to demonstrate Gauss elimination method for four unknows.

8.Write a program in C++/C to generate a series of Armstrong numbers from 100-500(a number is Armstrong if sum of the cube of the digit is equal to the number).

9.What is flow chart?Discuss this with symbols and give one example.

10.Compute the value of f(x) for x=2.5

from the table

x:       1     2     3     4

f(x):   1     8    27    64

using Lagrange's interpolation method.

11.Find a root of the equation X^2-3×X-5=0 by bisection method.

12.Solve Xlog10X=1.2 by regula falsi method.

13.Solve the following equations by Gauss-Seidel method

20x+y-2z=17

3x+20y-z=-18

2x-3y+20z=25  .
14.Find the root of the equation xtanx=1.28 that lies between 0 and 1, correct to two places of decimals, using bisection method.
Write a computer program using C++ for the above question using bisection method.
15.Solve the equation dy/dx=1/(x+y),y(0)=1 for y(0.1) and y(0.2), using Runge-Kutta method of the fourth order.

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