BCSL-058-SOLVED ASSIGNMENT 2016-17 IGNOU BCA 5th SEM

1.

Write a program that implements (with pivot condensation) Gaussian elimination method for solving n linear equations in n variables, that calls procedures

(i) Exchange of rows

(ii) lower-triangularisation and

(iii) back substitutions

(codes of procedures are also to be written). Use the program for solving the following system of linear equations: x+ y+z= 3 5x+ 2y+7z=14 3x+y+ 5z =9

2.

Write a program that uses Gauss-Jacobi method to solve system of linear equations. Use the method to solve the system of linear equations given in Q. No. 1 above.

3.

Write a program that approximates a root of the equation f (x) = 0 in an interval [a, b] using Bisection method. The necessary assumptions for application of Bisection method should be explicitly mentioned. Use the method to find one root of the equation x4 + 5x - 3=0.

4.

Write a program that uses Lagrangian polynomials, for which at most three nodes are given (hence interpolating polynomial will be at most quadratic). Use the program to find approximate value of f (x) = x4 at x=1.5. The nodes given may be assumed as x0 = 1, x1 = 2, x2 = 3.

5. Repeat Problem No. 4 using Newton‟s Interpolating polynomial

(instead of Lagrangian Polynomial).

6. Write a program that approximates the derivative of a given

(differentiable) function f (x) at x = x0, using forward–difference

formula. Using the program find the derivative of

( ) 1 x f x e at x .

8. Write a program that approximates the solution of the initial value

problem: y f (t, y) with 0 y(a) y over [a,b] using Euler's

method. Using the program to approximate the solution of the

initial value problem:

y‟ = -2ty2 with y(0) =1

-----------------------------------------------------------------------------------------
Assignment Solution on process | IGNOU BCA MCA Solved Assignment 2016 2017  Join IGNOU BCA MCA Coaching Class |  Synopsis & Project Support 
Powered by IGNOUFriend | www.ignoufriend.co.in |

ignou bca mca synopsis, ignou class, ignou bca mca project, solved ignou assignment,BCA Coaching Institute in Delhi, MCA Coaching Institute in Delhi, BCA MCA Coaching Institute in Delhi, BCA MCA, Tuation Class in delhi, IGNOU BCA MCA Class, IGNOU BCA MCA Tution,IGNOU Solved Assignment, IGNOU BCA Synopsis , IGNOU MCA Synopsis, ignou bca project, ignou mca project, ignou best coaching in delhi, ignou best coaching in new delhi, ignou best coaching in south delhi, ignou best coaching in north delhi, ignou best coaching in east delhi, ignou best coaching in west delhi

ignou, bca, mca, coaching institute, tution class, bcsp064, mcsp060, cs76, mcs044,bcs011, bcs012, mcs011, mcs012, mcs013, mcs015, bcsl021, bcsl022, mcs014, bcs040, mcs021, mcs023, bcs031, bcsl032, bcsl033, bcsl 034, bcs041, bcs042, mcsl016, bcsl043, bcsl044, bcsl045, bcs051, bcs052, bcs053, bcs054, bcs055, bcsl056, bcsl057, bcsl058, bcs062, mcs022, bcsl063, project

mcsp060, mcse011, mcse004, mcse003, mcsl054, mcs053, mcs052, mcs051, mcsl045, mcs044, mcs043, mcs042, mcs041, mcsl036, mcs035, mcs034, mcs033, mcs032, mcs031, mcsl025, mcs024, mcs023, mcs022, mcs021, mcsl017, mcsl016, mcs015, mcs014, mcs013, mcs012, mcs011

nips institute, nipsar, ignoufriend.in, ignoufriend.co.in, ignouhelp, best coaching institute