Jaypee Institute of Information Technology (JIIT) 2008 B.E test 3 : numerical methods - Question Paper
JAYPEE UNIVERSITY OF INFORMATION TECHNOLOGY
WAKNAGHAT
Test 3 3W SEMESTER
COURSE CODE: 07B31MA106 MAX TIME Hour 30 Minuies
COURSE NAME NUMERICAL METHODS MAX MARKS 30
COURSE CREDIT. 4 _
Note: AH questions arc compulsory Marks are indicated against each question
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I. Construct the divided difference table for the data: | ||||||||||||||
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Ilcticc. find the interpolating polynomial and an approximation to the value off {7). |4] |
2. Solve the initial value problem u * -2/uJ,u(0) = 1 with step length h * 0.2 on the interval [0,0.6) -Use (he fourth order classical Runge-Kutta method [5]
ihi
3. Solve the initial value problem = u+l with u(0)a0 for 0 5/ S 0.4, with step length
ai
h 0.1 using the prcdictor-corrector method. (S]
4 Solve the boundary value problem
(0) = O.n(l) * 0. with h=-. by using the Numcrov Method [5J
5. Solve the heat conduction equation
subject to the initial and boundary conditions: u(x,0) = sin. 0x5 I
m(0,/)u(1,/) = 0 by using the Schmidt Method for h--.k Integrate upto two
3 36
time levels. (5]
6. Find the solution of the initial boundary value problem
d1u S:u dt1
F-aF
subject to the initial conditions:
dli
u(x,0) * sin nr .05x51. (x.0) = 0, 0<xSl
ct
and the boundary conditions : u(Q,/) * 0, (!,/) = 0, t 2 0, Assume h,k =
4 16
and integrate for three time levels. [6]
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Attachment: |
| Earning: Approval pending. |
