The Five-Point Approximation of the Laplacian Is
A) $[ u ( x + h , y ) + u ( x , y + h ) + u ( x - h , y ) + u ( x , y + h ) - 4 u ( x , y ) ]$

question 5

Multiple Choice

The five-point approximation of the Laplacian is

• A) \([ u ( x + h , y ) + u ( x , y + h ) + u ( x - h , y ) + u ( x , y + h ) - 4 u ( x , y ) ]\)
• B) \([ u ( x + h , y ) + u ( x , y + h ) + u ( x - h , y ) + u ( x , y + h ) - 2 u ( x , y ) ]\)
• C) \([ u ( x + h , y ) + u ( x , y + h ) + u ( x - h , y ) + u ( x , y + h ) - 4 u ( x , y ) ] / h\)
• D) \([ u ( x + h , y ) + u ( x , y + h ) + u ( x - h , y ) + u ( x , y + h ) - 4 u ( x , y ) ] / h ^ { 2 }\)
• E) \([ u ( x + h , y ) + u ( x , y + h ) + u ( x - h , y ) + u ( x , y + h ) - 2 u ( x , y ) ] / h ^ { 2 }\)

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