Statistics and Numerical Methods: Unit IV: Interpolation, numerical differentiation and numerical integration
Short Questions and Answers
Double integrals using Tapezoidal and Simpson's 1/3rd rules
Statistics and Numerical Methods : Unit - IV : Interpolation, numerical differentiation and numerical integration : Short Questions and Answers
SHORT QUESTIONS AND ANSWERS
1.
State Trapezoidal rule for evaluating 
. [A.U CBT A/M
2011]
Solution
:
I
= hk / 4 [(Sum of the values of ƒ at the
four corners)
+
2 (Sum of the values of f at the remaining nodes on the boundary) + 4 (Sum of
the values of f at the interior nodes)]
2.
State Simpson's rule for evaluating 
.
Solution
:
I
= hk / 9 [(Sum of the values of ƒ at the four corners)
+
2 (Sum of the values of ƒ at the odd positions on the boundary except the
corners)
+
4 (Sum of the values of f at the even positions on the old boundary)
+
{4 (Sum of the values of f at odd positions)
+
8 (Sum of the values of ƒ at even positions) on the odd row of the matrix
except boundary rows}
+
{8 (Sum of the values of f at the odd positions)
+ 16 (Sum of the values of ƒ at the even positions) on the even rows of the matrix)}]
Statistics and Numerical Methods: Unit IV: Interpolation, numerical differentiation and numerical integration : Tag: : Double integrals using Tapezoidal and Simpson's 1/3rd rules - Short Questions and Answers
Statistics and Numerical Methods: Unit IV: Interpolation, numerical differentiation and numerical integration
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Statistics and Numerical Methods
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