Enter the true value and the approximate value into the calculator to determine the domain error. Domain error is a measure of the absolute difference between a true value and an approximation.
Domain Error Formula
The following formula is used to calculate the domain error.
E = |V_t - V_a|
Variables:
- E is the domain error
- V_t is the true value
- V_a is the approximate value
To calculate the domain error, subtract the approximate value from the true value and take the absolute value of the result.
What is Domain Error?
Domain error is a numerical analysis concept that quantifies the absolute difference between an exact value and its approximation. It is used to assess the accuracy of numerical methods and algorithms, especially when dealing with iterative processes or estimations. A smaller domain error indicates a closer approximation to the true value.
How to Calculate Domain Error?
The following steps outline how to calculate the Domain Error.
- First, determine the true value (V_t).
- Next, determine the approximate value (V_a).
- Use the formula E = |V_t – V_a| to calculate the domain error (E).
- Finally, compare the domain error with the acceptable threshold to assess the accuracy of the approximation.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
True value (V_t) = 50
Approximate value (V_a) = 48.5
