B.TechSemester 62021-22Computer Based Numerical TechniquesKOE065

Computer Based Numerical Techniques (KOE065) - AKTU Question Paper 2021-22

B.Tech · Semester 6 · Free PDF Download

This is the official AKTU Computer Based Numerical Techniques Previous Year Question Paper for B.Tech Semester 6, academic session 2021-22. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.

Course:B.Tech

Semester:Semester 6

Session:2021-22

University:AKTU / UPTU

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Questions Asked in 2021-22

Computer Based Numerical Techniques (KOE065) — complete question paper

Section AAttempt all q u e s t i o n s i n b r i e f . 2*10 = 20

a
Define Rate of convergence of Bisection method 2 1
b
Add and Subtract the following floating point numbers: 0.78596E-2 and 0.78633E1
c
Evaluate ∆n(eଷ୶ାହ) 2 2
d
Write the relation between Divided differences and ordinary differences. 2 2
e
Write the formula of genera lized Simpson’s 1/3 Rule. 2 3
f
Find differentiation of Newton’s forward difference formula 2 3
g
Define Predictor Corrector method. 2 4
h
Define Stability of solution. 2 4 (i) Classify 𝑢௫௫ ൅3 𝑢௫௬ ൅𝑢 ௬௬ ൌ0 2 5 (j) Define eigen vector of a matrix. 2 5

Section BAttempt any three o f t h e f o l l o w i n g : 10*3 = 30

a
Using Regula Falsi Method find the real root of the equation 𝑥ଷ െ4 𝑥െ9ൌ 0 upto 3 iteration
b
Using Lagrange interpolation formula, calculate f(3) from t he following table
f
(x) : 1 14 15 56 30 19
c
The velocity of a car which start initially from rest at in terval of 2 minutes are given below Time (minutes) 2 4 6 8 10 12 Velocity (Km/hr) 22 30 27 18 7 0 Apply Simpson’s 3/8th rule to find the distance covered by car
d
Find the value of y(1.1) using Runge-Kutta method of four th order for the differential equation : 2 ,( 1 ) 1 . 0dy yx y ydx   . Take h=0.05
e
Explain finite difference method to the solution of Boundar y value problem of second order

Section CAttempt any one p a r t o f t h e f o l l o w i n g : 10*1 = 10

b
Calculate √12 approximately using Newton-Raphson method. 10 1
b
Construct Newton forward in terpolation polynomial for the data Hence evaluated y for x=5
a
Compute f ′ሺx) at x=16 from the given data
b
Find the value of the integral using trapezoidal rule, taki ng h=0.25
a
Use Picard’s method; obtain the solution of the equation 3(1 ), (0) 3dy xx y ydx   . Compute the value of (.1) (.2)y andy
b
Write the algorithm of Euler’s method to the solution of or dinary differential equation
a
Explain Explicit method to solve parabolic one dimensional Heat equation 10 5
b
Using Power method, find Eigen values and Eigen vector of A

Question text is extracted from the official AKTU question paper PDF above. Hindi translations are omitted — every question is printed in English in the original paper. Last verified: 2026-08-23.

Repeated Questions — KOE065

Questions that appeared in more than one session, found by comparing 3 years of Computer Based Numerical Techniques papers (2021-22, 2022-23, 2023-24)

Find differentiation of Newton’s forward difference formula 2 3

Appeared in: 2021-22 · 2023-24

Using Power method, find Eigen values and Eigen vector of A

Appeared in: 2021-22 · 2023-24

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