In the previous three problems, if $g ( x ) = 0$ then the values of $u _ { i , - 1 }$ are
A) $u _ { i , - 1 } = u _ { i , 1 }$
B) $u _ { i _ { . } - 1 } = 0$
C) $u _ { i _ { . } - 1 } = 1$
D) $u _ { i , - 1 } = - 1$
E) none of the above

Question

Quizplus · Accepted Answer

Given $g(x) = 0$, the correct choice is $u_{i, -1} = u_{i, 1}$ because this implies a symmetric condition or reflection across a boundary in many contexts, such as numerical methods for differential equations where ghost points are used to impose boundary conditions.

In the Previous Three Problems, If g(x)=0g ( x ) = 0g(x)=0

In the Previous Three Problems, If $g ( x ) = 0$