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The Standard Central Difference Approximation Of y(x)y ^ { \prime \prime } ( x )

Question 8

Multiple Choice

The standard central difference approximation of y(x) y ^ { \prime \prime } ( x ) is


A) (y(x+h) 2y(x) +y(xh) ) /h2( y ( x + h ) - 2 y ( x ) + y ( x - h ) ) / h ^ { 2 }
B) (y(x+h) +2y(x) +y(xh) ) /h2( y ( x + h ) + 2 y ( x ) + y ( x - h ) ) / h ^ { 2 }
C) (y(x+h) 2y(x) +y(xh) ) /h( y ( x + h ) - 2 y ( x ) + y ( x - h ) ) / h
D) (y(x+h) +2y(x) +y(xh) ) /h( y ( x + h ) + 2 y ( x ) + y ( x - h ) ) / h
E) (y(x+h) y(xh) ) /h( y ( x + h ) - y ( x - h ) ) / h

Correct Answer:

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