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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)−2u(x,y)]/h[ u ( x + h , y ) + u ( x , y + h ) + u ( x - h , y ) + u ( x , y - h ) - 2 u ( x , y ) ] / h

Question 9

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) −2u(x,y) ]/h[ u ( x + h , y ) + u ( x , y + h ) + u ( x - h , y ) + u ( x , y - h ) - 2 u ( x , y ) ] / h
B) [u(x+h,y) +u(x,y+h) +u(x−h,y) +u(x,y−h) −4u(x,y) ]/h[ u ( x + h , y ) + u ( x , y + h ) + u ( x - h , y ) + u ( x , y - h ) - 4 u ( x , y ) ] / h
C) [u(x+h,y) +u(x,y+h) +u(x−h,y) +u(x,y−h) −2u(x,y) ]/h2[ u ( x + h , y ) + u ( x , y + h ) + u ( x - h , y ) + u ( x , y - h ) - 2 u ( x , y ) ] / h ^ { 2 }
D) [u(x+h,y) +u(x,y+h) +u(x−h,y) +u(x,y−h) −4u(x,y) ]/h2[ 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) −4u(x,y) ]/h2[ u ( x + h , y ) - u ( x , y + h ) + u ( x - h , y ) - u ( x , y - h ) - 4 u ( x , y ) ] / h ^ { 2 }

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