B.TechSemester 62024-25Computer Based Numerical TechniquesBOE065
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Computer Based Numerical Techniques (BOE065) - AKTU Question Paper 2024-25

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 2024-25. 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:2024-25
University:AKTU / UPTU

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Questions Asked in 2024-25

Computer Based Numerical Techniques (BOE065) — complete question paper · 70 marks · 3 Hours

Section AAttempt all questions in brief. 02 x 7 = 14
  • b
    What is the Laplace-Everett’s formula? 2 K5 Evaluate  dxe x using the Trapezoidal rule , taking the 10 number of sub- intervals
  • d
    Write the Divided Difference ta ble for the following values
  • e
    S o l v e 1)0(,  yyxy by Taylor’s series method. Hence find the value of y at x = 0.1
  • f
    Adams-Bashforth predictor formula to solve ,),( yxfy  given )( 00 xyy  is ……
  • g
    Explain the Standard 5-point for mula and Diagonal 5-point formula for the boundary value problems of partial differential equation
Section BAttempt any three of the following: 07 x 3 = 21
  • a
    Find the root of the equation xexxcos using the Regula-Falsi method correct to four decimal places
  • b
    Using Gauss backward differenc e formula, find y(8) from the following table
  • c
    Using Bessel’s formula, find )5.7(f from the following table
  • d
    Using Runge-Kutta method of fourth order, solve for y at x = 1 . 2 , 1 . 4 from x 2 given that .0,1 00  yx
Section CAttempt any one part of the following: 07 x 1 = 07
  • a
    Using the Newton-Raphson me thod find the root of 04  xex that lies between 2 and 3
  • b
    Apply Muller’s method to find the root of the equation xexxcos which lies between 0 and 1
  • a
    From the following table, using Stirling’ formula, estimate the value of 016tan : xy tan 0.0 0.0875 0.1763 0.2679 0.3640 0.4663 0.5774
  • b
    Using Lagrange’s interpolati on formula, prove the following: )(2.0)(3.0 533531   yyyyyy nearly
  • a
    Find the first two derivatives of 3/1)(x at x = 56 for the given table: Evaluate the integral  log dxxI e using Weddle’s rule
  • e
    Obtain by power method, the num erically dominant eigen value correct to two decimal places of the following matrix
  • a
    Using Runge-kutta method of fourth order , Compute y (0.3) c orrect to four decimal places by taking h = 0.1 for the given differential equation: .1)0(,02  yxyydx
  • b
    Using Milne’s method, find y(4.4) for the differential equat ion ,025 2  yyx given that ,0049.1)1.4(,1)4(  yy 0097.1)2.4( y 0143.1)3.4( y correct to five decimal places
  • a
    Using Bender- Schmidt method, s olve the following heat equation: 10,sin)0,(0),1(,0),0(2  xxxuandtututosubject (Taking 2.0h ) Solve ,0,10,2 u given that 0)0,()0,(  xuxu t , 0),0( tu and ttu sin100),1(  . Compute ),( txu for 4 times steps with

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.

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