Anna university results

ANNA UNIVERSITY NOV/DEC 2012 3RD,5TH,7TH SEMESTER EXAMS FOR BOTH CREDIT SYSTEM AND MARK SYSTEM
HI FRIENDS UNLIKE THE PREVIOUS SEMESTER THIS TIME ONLY 3 CHANGES AND ADDITIONS ARE MADE SO FAR TO THE TIME TABLE. SO THE STUDENTS ARE FEELING LITTLE BETTER THAN THEIR PREVIOUS SEMESTERS.

ANNA UNIVERSITY BE/BTECH NOVEMBER/DECEMBER 2012 3RD,5TH,7TH SEMESTER RESULT

WHEN WILL BE THE ANNA UNIVERSITY NOVEMBER/DECEMBER 2012 RESULTS ANNOUNCED?
WE ALL KNOW THE LAST SEMESTER RESULTS ARE THE MOST DELAYED RESULTS. IT HAS MANY REASONS LIKE TIME TABLE CORRECTIONS, QUESTION PAPER LEAK, ETC..,

THIS SEMESTER UP TO NOW 3 CHANGES IN THE TIME TABLE ARE MADE.
IF THE EXAMS GO SMOOTHLY AS ON SCHEDULE THE RESULTS WILL BE ANNOUNCED SOONER THAN THE LAST SEMESTER.

THIS TIME THERE IS A CHANCE FOR THE FIRST YEAR FIRST SEMESTER JAN 2013 RESULT TO BE ANNOUNCED SEPARATELY.

THE RESULT FOR THE 2ND,3RD,4TH YEAR STUDENTS ARE EXPECTED TO BE ANNOUNCED IN THE MONTH OF JAN/FEB 


click here to read more: http://www.annaunivedu.in/2012/11/anna-university-novdec-2012-3rd5th7th.html#ixzz2GbjxisNH

Anna University even sem last working day

Anna University Academic Schedule for Even Semester Jan 2013 to May 2013

Anna University Academic Schedule for Even Semester 4th, 6th 8th Semester Reopening date, Last working Date, Date of Commencement of semester exam, Reopening date for Next semester


CENTRE FOR ACADEMIC COURSES ANNA UNIVERSITY: : CHENNAI — 600 025 ACADEMIC SCHEDULE for the January 2013 — May 2013 (EVEN SEMESTER) SESSION OF THE ACADEMIC YEAR 2012 — 2013 UG & PG DEGREE PROGRAMMES OFFERED IN AFFILIATED INSTITUTIONS  
RE - OPENING DAY FOR THE NEXT SEMESTER 01.07.2013  
NOTE: 1. The Theory and Practical Examination schedules which will be published in the due course by the Controller of Examinations, Anna University, Chennai should be followed. (Practical Examinations will be conducted before the commencement of theory examinations). 
If required Saturdays may also be made as working days. 

SI . No.	Programme	Semester	Date of Commencement of Classes	Last working day	Date of Commencement of End Semester Theory Examinations
1.	B.E. / B.Tech. (Full-time)	IV, VI, VIII	02.01.2013	03.05.2013	09.05.2013
2.	B.E. (Part-Time)	III,V,V11	02.01.2013	03.05.2013	09.05.2013
3.	B.Arch. (Full-Time)	IV,VI, VIII,X	02.01.2013	03.05.2013	09.05.2013
4.	M.E. / M.Tech./ M. Arch. (FT/PT)	IV,VI	02.01.2013	03.05.2013	09.05.2013
5.	M.C.A. (Full-Time)	IV,V1	02.01.2013	03.05.2013	09.05.2013
6.	M.B.A. (FT/PT)	IV,V1	02.01.2013	03.05.2013	09.05.2013
7.	M.Sc ( 5 Yrs-Integrated)	IV,VI,VIII,X	02.01.2013	03.05.2013	09.05.2013
8.	M.Sc.(2 Yrs)	IV	02.01.2013	03.05.2013	09.05.2013
9.	B.Sc / BCA	IV, VI	02.01.2013	03.05.2013	09.05.2013

click here to read more: http://www.annaunivedu.in/2012/12/anna-university-academic-schedule-for.html#ixzz2GbjTQ0KF
more question bank and prevoius year question paper 

மு ஹம்மத்  ஆஷாருதீன்
மு ஹம்மத் அலி  தெரு 

inauguration function at Einstein college of engineering

                                           we welcome all the friends to attend the function.
This will be our function.EEE dept is the gethu dept,
go ZETA go ZETA
Date:21.07.2012
Time:3.00 to 5.00
place:Einstein college of engineering

numerical methods

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NUMERICAL METHODS
QUESTION BANK
UNIT-5
PART-A
1. Define the local truncation error.
2. Write down the standard five point formula used in solving laplace equation U xx + U yy =
0 at the point ( i x, j y ).
3. Derive Crank-Niclson scheme.
4. State Bender Schmidt’s explicit formula for solving heat flow equations
5. Classify x 2 f xx + (1-y 2 ) f yy = 0
6. What is the truncation error of the central difference approximation of
y ' (x)?
7. What is the error for solving Laplace and Poissson’s equation by finite difference method.
8. Obtain the finite difference scheme fore the difference equations 2
2
2
dx
d y
+ y = 5.
9. Write dowm the implicit formula to solve the one dimensional heat equation.
10. Define the diagonal five point formula .
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1. Solve the equqtion Ut = U xx subject to condition u(x,0) = sin x ; 0 x 1,u(0,t) =
u(1,t) =0 using Crank- Nicholson method taking h = 1/3 k = 1/36(do on time step)
2. Solve U xx + U yy = 0 for the following square mesh with boundary values
1 2
1 4
2 5
4 5
3. Solve U xx = Utt with boundary condition u(0,t) = u(4,t) and the initial condition
ut (x,0) = 0 , u(x,0)=x(4-x) taking h =1, k = ½ (solve one period)
4. Solve xy II + y = 0 , y(1) =1,y(2) = 2, h = 0.25 by finite difference method.
5. Solve the boundary value problem xy II -2y + x = 0, subject to y(2) = 0 =y(3).Find
y(2.25),y(2.5),y(2.75).
6 . Solve the vibration problem
2
2
4
x
y
t
y
subject to the boundary conditions
y(0,t)=0,y(8,0)=0 and y(x,0)=
2
1
x(8-x).Find y at x=0,2,4,6.Choosing x = 2, t =
2
1
up
compute to 4 time steps.
7. Solve 2 u = -4(x + y) in the region given 0 x 4, 0 y 4. With all boundaries kept
at 0 0 and choosing x = y = 1.Start with zero vector and do 4 Gauss- Seidal iteration.
0 0 0 0 0 0 0 0 0 0
u1 u 2
u 3 u 4
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0 0
0 0
0 0
0 0 0 0 0 0 0 0 0 0
8. Solve u xx + u yy = 0 over the square mesh of sid e 4 units, satisfying the following
conditions .
u(x,0) =3x for 0 x 4
u(x, 4) = x 2 for 0 x 4
u(0,y) = 0, for 0 y 4
u(4,y) = 12+y for 0 y 4
9. Solve
t
u
x
u
2 2
2
= 0, given that u(0,t)=0,u(4.t)=0.u(x,0)=x(4-x).Assume h=1.Find
the values of u upto t =5.
10. Solve y tt = 4y xx subject to the condition y(0,t) =0, y(2,t)=o, y(x,o) = x(2-x),
(x,0) 0
t
y
. Do 4steps and find the values upto 2 decimal accuracy.

numerical methods

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NUMERICAL METHODS
QUESTION BANK
UNIT-5
PART-A
1. Define the local truncation error.
2. Write down the standard five point formula used in solving laplace equation U xx + U yy =
0 at the point ( i x, j y ).
3. Derive Crank-Niclson scheme.
4. State Bender Schmidt’s explicit formula for solving heat flow equations
5. Classify x 2 f xx + (1-y 2 ) f yy = 0
6. What is the truncation error of the central difference approximation of
y ' (x)?
7. What is the error for solving Laplace and Poissson’s equation by finite difference method.
8. Obtain the finite difference scheme fore the difference equations 2
2
2
dx
d y
+ y = 5.
9. Write dowm the implicit formula to solve the one dimensional heat equation.
10. Define the diagonal five point formula .
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1. Solve the equqtion Ut = U xx subject to condition u(x,0) = sin x ; 0 x 1,u(0,t) =
u(1,t) =0 using Crank- Nicholson method taking h = 1/3 k = 1/36(do on time step)
2. Solve U xx + U yy = 0 for the following square mesh with boundary values
1 2
1 4
2 5
4 5
3. Solve U xx = Utt with boundary condition u(0,t) = u(4,t) and the initial condition
ut (x,0) = 0 , u(x,0)=x(4-x) taking h =1, k = ½ (solve one period)
4. Solve xy II + y = 0 , y(1) =1,y(2) = 2, h = 0.25 by finite difference method.
5. Solve the boundary value problem xy II -2y + x = 0, subject to y(2) = 0 =y(3).Find
y(2.25),y(2.5),y(2.75).
6 . Solve the vibration problem
2
2
4
x
y
t
y
subject to the boundary conditions
y(0,t)=0,y(8,0)=0 and y(x,0)=
2
1
x(8-x).Find y at x=0,2,4,6.Choosing x = 2, t =
2
1
up
compute to 4 time steps.
7. Solve 2 u = -4(x + y) in the region given 0 x 4, 0 y 4. With all boundaries kept
at 0 0 and choosing x = y = 1.Start with zero vector and do 4 Gauss- Seidal iteration.
0 0 0 0 0 0 0 0 0 0
u1 u 2
u 3 u 4
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0 0
0 0
0 0
0 0 0 0 0 0 0 0 0 0
8. Solve u xx + u yy = 0 over the square mesh of sid e 4 units, satisfying the following
conditions .
u(x,0) =3x for 0 x 4
u(x, 4) = x 2 for 0 x 4
u(0,y) = 0, for 0 y 4
u(4,y) = 12+y for 0 y 4
9. Solve
t
u
x
u
2 2
2
= 0, given that u(0,t)=0,u(4.t)=0.u(x,0)=x(4-x).Assume h=1.Find
the values of u upto t =5.
10. Solve y tt = 4y xx subject to the condition y(0,t) =0, y(2,t)=o, y(x,o) = x(2-x),
(x,0) 0
t
y
. Do 4steps and find the values upto 2 decimal accuracy.

numerical methods

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MA1251 – NUMERICAL METHODS
UNIT – IV : INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL
EQUATIONS
PART – A
1. By Taylor series, find y(1.1) given y = x + y, y(1) = 0.
2. Find the Taylor series upto x3 term satisfying 2y y x 1, y(0) 1.
3. Using Taylor series method find y at x = 0.1 if 1, (0) 1 2 x y y
dx
dy
.
4. State Adams – Bashforth predictor and corrector formula.
5. What is the condition to apply Adams – Bashforth method ?
6. Using modified Euler’s method, find y(0.1) if , (0) 1 2 2 y x y
dx
dy
.
7. Write down the formula to solve 2nd order differential equation using Runge-
Kutta method of 4th order.
8. In the derivation of fourth order Runge-Kutta formula, why is it called fourth
order.
9. Compare R.K. method and Predictor methods for the solution of Initial value
problems.
10. Using Euler’s method find the solution of the IVP log(x y), y(0) 2
dx
dy
at x 0.2 taking h 0.2.
PART-B
11. The differential equation
2 y x
dx
dy
is satisfied
by y(0) 1, y(0.2) 1.12186, y(0.4) 1.46820, y(0.6) 1.7379.Compute the value
of y(0.8) by Milne’s predictor - corrector formula.
12. By means of Taylor’s series expension, find y at x = 0.1,and x = 0.2 correct to
three decimals places, given x y e
dx
dy
2 3 , y(0) = 0.
13. Given y xy y 0, y(0) 1, y (0) 0, find the value of y(0.1) by using
R.K.method of fourth order.
14. Using Taylor;s series method find y at x = 0.1, if 1 2 x y
dx
dy
, y(0)=1.
15. Given (1 ) 2 x y
dx
dy
, y(1) = 1, y(1.1) = 1.233, y(1.2) = 1.548, y(1.3)=1.979,
evaluate y(1.4) by Adam’s- Bashforth method.
16. Using Runge-Kutta method of 4th order, solve
2 2
2 2
y x
y x
dx
dy
with y(0)=1 at
x=0.2.
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17. Using Milne’s method to find y(1.4) given that 5 2 0 2 xy y given that
y(4) 1, y(4.1) 1.0049, y(4.2) 1.0097, y(4.3) 1.0143.
18. Given
, (0) 2, (0.2) 2.443214, (0.4) 2.990578, (0.6) 3.823516 3 x y y y y y
dx
dy
find y(0.8) by Milne’s predictor-corrector method taking h = 0.2.
19. Using R.K.Method of order 4, find y for x = 0.1, 0.2, 0.3 given that
, (0) 1 2 xy y y
dx
dy
also find the solution at x = 0.4 using Milne’s method.
20. Solve 2 y x
dx
dy
, y(0) = 1.
Find y(0.1) and y(0.2) by R.K.Method of order 4.
Find y(0.3) by Euler’s method.
Find y(0.4) by Milne’s predictor-corrector method.
21. Solve 0.1(1 ) 0 2 y y y y subject to y(0) 0, y (0) 1 using fourth order
Runge-Kutta Method.
Find y(0.2) and y (0.2) . Using step size x 0.2.
22. Using 4th order RK Method compute y for x = 0.1 given
2 1 x
xy
y given y(0) =
1 taking h=0.1.
23. Determine the value of y(0.4) using Milne’s method given , (0) 1 2 xy y y
dx
dy
,
use Taylors series to get the value of y at x = 0.1, Euler’s method for y at x = 0.2
and RK 4th order method for y at x=0.3.
24. Consider the IVP 1, (0) 0.5 2 y x y
dx
dy
(i) Using the modified Euler method, find y(0.2).
(ii) Using R.K.Method of order 4, find y(0.4) and y(0.6).
(iii) Using Adam- Bashforth predictor corrector method, find y(0.8).
25. Consider the second order IVP 2 2 int, 2 y y y e S t with y(0) = -0.4 and
y’(0)=-0.6.
(i) Using Taylor series approximation, find y(0.1).
(ii) Using R.K.Method of order 4, find y(0.2).