Download JNTUK M-Tech 2020 R19 ME Computational Methods In Engineering Model Question Paper

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RAJU ENGINEERING

[M19CAD1103]

I M. Tech I Semester (R19) Regular Examinations

COMPUTATIONAL METHODS IN ENGINEERING

Department of Mechanical Engineering

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MODEL QUESTION PAPER

TIME: 3Hrs. Max. Marks: 75 M

Answer ONE Question from EACH UNIT.

All questions carry equal marks.

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CO |KL |M

UNIT-I

1. Solve using gauss — Jordan elimination
   X—-y+2z=-8
   x+y+z=-2
   

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   2x-2y+3z=-20 (1 3 15)
   OR
2. Fit a curve of the form y = axⁿ for the following data: (1 3 15)
   

   X	1	2	3	4	5
   Y	0.5	2	4.5	8	12.5

UNIT-II

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1. Using Shooting method, solve the BVP y” + y+x =0, 0<x<1, y(0)=0 (2 3 15)
   and y(1) =e-1.
   OR
2. Solve the heat conduction equation, Uxx— ut = 0, subject to boundary (2 3 15)
   conditions u(0,t) = u(1,t) = 0 and u(x,0) =x — x². Take h=0.25 and k =
   

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   0.025.

UNIT-III

1. Explain FFT by taking a suitable example. (3 2 15)
   OR
2. Explain DFT by taking a suitable example. (3 2 15)

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UNIT-IV

1. Solve the Poisson equation Δ²u = -15(x² + y² + 15) subject to the (4 3 15)
   condition u=0 at x=0 and x=3, u=0 at y=0 and u=1 at y=3
   for 0<x<3 . Find the solution taking h = 1 with a square.
   OR

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2. Solve 4u_t = u_xx, u(0,t) =0, u(4,t) =0 (4 3 15)
   u(x,0) = 0 and u_t(x,0) = x(4-x).

UNIT-V

1. Solve u_xx + u_yy = 0, 0<x, y<1, with u(0,y) = 10 =u(1,y) and u(x,0)=20 (5 3 15)
   = u(x,1). Take h = 0.25 and apply Liebmann method to 3 decimal
   

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   accuracy.
   OR
2. Explain the procedure for solving wave equation by finite difference (5 2 15)
   method.

CO-CRSE TCOME KL-KNOWLEDGE LEVEL M-MARKS

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