The Forward Difference Approximation Of $\frac { \partial u } { \partial t }$

question 30

Multiple Choice

The forward difference approximation of $\frac { \partial u } { \partial t }$ with step size k is

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

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Definitions:

Behaviourism

A field of psychology that focuses on observing and analyzing how behavior is learned and influenced by the environment, without invoking thoughts or feelings.

Functionalism

A theory in sociology and psychology which emphasizes the importance of understanding the purpose or function of behavior, institutions, and processes in society and the mind.

Verifiability Of Observation

The principle that empirical observations must be capable of being checked or validated by other observers.

Behaviourism

Behaviourism is a theory of learning based on the idea that all behaviors are acquired through conditioning, emphasizing observable behaviors over internal states.