Error
- 1. ERRORMarcela Fernanda Garzón TorresPetroleumEngineeringNumericalMethods
- 2. MEANING ERRORIn mathematics and physics, the error is the difference between a value calculation and the real value"A minimum error can be up to the top end." Aristotle"Un error mínimo al principio puede ser máximo al final."Aristóteles
- 3. ERROR TYPESExperimental Error: Arises from the inability to control the influence of all variablesError Calculation: Is a mistake to specify a mathematical operation
- 4. ERROR TYPESApproximation Error: Is presented to express a more simple approach of a numerical scale rather than the actual sizehttp://www.cienciakanija.com/wp-content/uploads/quantum_threat_to_relativity_1.jpg
- 5. found several types of errors but the common ones are as followsa) Error por truncamiento:Assuming we want to calculate 24 / 7, we know that the outcome of this fraction is 3.428571 ...Truncating to two decimals, then 3.42 only, its expression as 171/50 would be broken, and this, as you can see, is generating an error.
- 6. b) Error due to roundingTaking the example above, if rounded to two decimals, then 3.43 only, its expression as 343/100 would be broken, and this will generate an error, as in the previous case.
- 7. TOTAL NUMERICAL ERRORThe total numerical error is defined as the sum of the rounding and truncation errors introduced in the calculation. But here comes a big problem. The more calculations would be carried out to obtain a result, the rounding error will be increased.But on the other hand, the truncation error can be minimized by including more terms in the equation, reduce or continue the iteration step (then larger number of calculations and probably biggest mistake of rounding.)CALCULATION ERRORWhen we obtain an approximate value, regardless of method used, we can calculate the error in two ways:
- 8. Absolute error (AE): It is the difference between the actual value (RV) and approximate value (VA).
- 9. b) Relative error is the percentage difference between the absolute value and real value. Y is calculated as