Computer Based Numerical Techniques (KOE065) - AKTU Question Paper 2023-24
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 2023-24. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.
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Questions Asked in 2023-24
Computer Based Numerical Techniques (KOE065) — complete question paper · 100 marks · 3 Hours
- aExplain the concept of error in a series approximation. 2
- bGive an example of a simple iteration method. 2
- cEvaluate Hermite’s Interpolation. 2
- dWhat is the principle o f finite difference? 2
- eDistinguish Newton's forward formula and backward formula for numerical differentiation
- fExplain how Lagrange's interpolation can be used for numerical differentiation, even though it's primarily an interpolation method
- gEnumerate types of errors. 2
- hDescribe differential equation. 2 i. Explain boundary value problem. 2 j. Explain the calculation of a distillation column. 2
- aHow are rounding and truncation techniques applied to number s, and what are the implications of these operations on accuracy
- bCompare and contrast the use of Gauss forward and backward i nterpolation formulas with central difference formulas like Stirling's, Bessel's, and Everett's formulas. When might one type be preferred over the other?
- cState and derive Simpson's 1/ 3 rule for numerical integratio n. What are its advantages and limitations?
- dUsing Picard’s process of successive approximations, obtain a solution up to the fifth approximation of the equation dy/dx y x, such that y 1 when x 0
- eDescribe the application of finite difference method to solv e eigenvalue problems. 10
- aExplain the importance of error analysis and uncertainty qua ntification in scientific and engineering applications, and describe some common methods used for this purpose
- bFor the given function f(x) = 𝑥ଷ – x – 1, a real root lies in between the interval [1,2]. Find the minimum number of iterations required to find the root up t o the accuracy of two decimal points
- aFind Solution using Everett's formula For x=1.15
- bHow does Newton's divided difference formula differ from the standard Newton's forward and backward difference formulas? Explain its role in polynomial interpolation
- aWhat is the general form of Newton's forward difference form ula? Derive the formula for the first and second-order approximations
- bFind Solution using Newton's Backward Difference formula
- aFind y(0.2) for y’ = ଶ , 𝑥=0, 𝑦=1, with step length 0.1 using Runge-Kutta 2 method (1st order derivative)
- bExplain the significance of numerical methods in solving dif ferential equations. Why are analytical solutions not always feasible, and how do numerical methods address these limitations?
- aWhat is the significance of hyperbolic PDEs and how can they be solved numerically. 10
- bFind the eigenvalues and eigenvectors of
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 the eigenvalues and eigenvectors of
Appeared in: 2021-22 · 2022-23 · 2023-24
Find Solution using Newton's Backward Difference formula
Appeared in: 2021-22 · 2023-24
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