In the Previous Problem, Using the Notation $u _ { i j } = u ( x , \mathrm { t } )$

question 22

Multiple Choice

In the previous problem, using the notation $u _ { i j } = u ( x , \mathrm { t } )$ , and letting $\lambda = c k / h$ , the equation becomes

• A) \(u _ { i , j + 1 } = \lambda ^ { 2 } { } _ { u i } + 1 , j + \left( 1 + 2 \lambda ^ { 2 } \right) u _ { i j } + \lambda _ { u i - 1 , j - u i j - 1 } ^ { 2 }\)
• B) \(u _ { i , j + 1 } = \lambda ^ { 2 } { } _ { u i } + 1 , j + \left( 1 - 2 \lambda ^ { 2 } \right) u _ { i j } + \lambda _ { u i - 1 , j - u i j - 1 } ^ { 2 }\)
• C) \(u _ { i , j + 1 } = \lambda _ { u i + 1 , j } + ( 1 - \lambda ) u _ { i j } + \lambda _ { u i - 1 , j - u i j - 1 }\)
• D) \(u _ { i , j - 1 } = \lambda ^ { 2 } { } _ { u i } + 1 , j + \left( 1 + 2 \lambda ^ { 2 } \right) u _ { i j } + \lambda _ { u i - 1 , j + u i j - 1 } ^ { 2 }\)
• E) \(u _ { i , j - 1 } = \lambda _ { u i + 1 , j } + ( 1 - 2 \lambda ) u _ { i j } + \lambda _ { u i - 1 , j + u i j - 1 }\)

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Definitions:

Posttraumatic Stress Disorder

A psychiatric disorder that can occur in people who have experienced or witnessed a traumatic event such as a natural disaster, a serious accident, a terrorist act, war/combat, rape, or other violent personal assault.

Opponent-Process Reaction

A theory suggesting that emotions are regulated by mechanisms that operate in opposing pairs; for example, an increase in happiness leads to a decrease in sadness.

General Adaptation Syndrome

describes the three-stage process (alarm, resistance, exhaustion) that the body undergoes while responding to stress, as identified by Hans Selye.

Nervous Exhaustion Condition

A non-specific medical term used historically to describe mental and physical symptoms of stress, anxiety, or depression.