The Central Difference Approximation For $\frac { \partial ^ { 2 } u } { \partial x ^ { 2 } }$

question 35

Multiple Choice

The central difference approximation for $\frac { \partial ^ { 2 } u } { \partial x ^ { 2 } }$ with step size $h$ is

• A) \(( u ( x + h , y ) - 2 u ( x , y ) + u ( x - h , y ) ) / h\)
• B) \(( u ( x + h , y ) - 2 u ( x , y ) + u ( x - h , y ) ) / h ^ { 2 }\)
• C) \(( u ( x , y + h ) - 2 u ( x , y ) + u ( x , y - h ) ) / h\)
• D) \(( u ( x , y + h ) - 2 u ( x , y ) + u ( x , y - h ) ) / h ^ { 2 }\)
• E) \(( u ( x + h , y ) - u ( x - h , y ) ) / ( 2 h )\)

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