Disscuss MTH603 Assignment no 2 due date is 14 July 2014

[Emmi]

Disscuss MTH603 Assignment no 2 due date is 14 July 2014

[+ M.Tariq Malik]

Please Discuss here about this assignment.Thanks

Our main purpose here discussion not just Solution

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[مَلیکا ایمان]

[+ M.Tariq Malik]

MTH603 - Numerical Analysis Assignment No. 2 Solution and Discussion Spring 2014 of VirtualUniversity (VU) Due Date: July 14, 2014

Assignment # 2 (Lecture# 23 - 28) Of MTH603 (Spring 2014) 

Maximum Marks: 30 
Due Date: 14 July, 2014 



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Question: 1 Marks: 5 + 10 

Using Lagrange’s interpolation formula, find the value of cos
6
  π
    using the following table. 
Also 
estimate the error in the solution. 

x 0 
4
π 
2
π 
y x =cos 1 0.7071 0 



Question: 2 Marks: 2.5 + 2.5 + 5 + 5 

Estimate (2 3. ) d
dx
and (1 3. ) d
dx
, using the following table. 

x 1.3 1.5 1.7 1.9 2.1 2.3 
y 3.753 3.523 3.333 1.9922 1.5442 1.2969

[+ M.Tariq Malik]

Dear Students Don’t wait for solution post your problems here and discuss ... after discussion a perfect solution will come in a result. So, Start it now, replies here give your comments according to your knowledge and understandings....

[J$ فقیہہ (BSCS 8th) ▬]

[J$ فقیہہ (BSCS 8th) ▬]

[+ M.Tariq Malik]

check this if error then accurate this

SINCE X=2.3 OCCURS AT THE END OF THE TABLE,SO WE WILL USE BACKWARD DIFFERENCE FORMULA for derivatives

The backward difference table for the given data is given below

X	F(x)	Δy	y	y	y	y
1.3	3.753
1.5	3.523	-0.5
1.7	3.333	-0.1900	0.3100
1.9	1.9922	-1.3400	-1.1500	-1.4600
2.1	1.5442	-0.4480	0.8920	2.0420	3.5020
2.3	1.2964	-0.2773	0.1707	-0.7213	-2.7633	-6.2653

[+ M.Tariq Malik]

NOW FOR  

SINCE 1.3 appear at the beginning of the table so we will use forward difference formula for which table is given below

X	F(x)	Δf(x)	f(x)	f(x)	f(x)	f(x)
1.3	3.753
1.5	3.523	-0.5
1.7	3.333	-0.1900	0.3100
1.9	1.9922	-1.3400	-1.1500	-1.4600
2.1	1.5442	-0.4480	0.8920	2.0420	3.5020
2.3	1.2964	-0.2773	0.1707	-0.7213	-2.7633	-6.2653

 

 

Using the forward difference formula

=

=

==-5.8270

[+ M.Tariq Malik]

[+ M.Tariq Malik]

[Meeral Mcs (ex std)]

is ka table ghalat hai...........

[J$ فقیہہ (BSCS 8th) ▬]

g 0.04 ki jaga 0.4 likha hua hy