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# Error

## by marcelafernandagarzon on May 14, 2010

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## ErrorPresentation Transcript

• ERROR
Marcela Fernanda Garzón Torres
PetroleumEngineering
NumericalMethods
• MEANING ERROR
In 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
• ERROR TYPES
Experimental Error:
Arises from the inability to control the influence of all variables
• Error Calculation:
Is a mistake to specify a mathematical operation
• ERROR TYPES
Approximation Error:
Is presented to express a more simple approach of a numerical scale rather than the actual size
• found several types of errors but the common ones are as follows
a) 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.
• b) Error due to rounding
Taking 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.
• TOTAL NUMERICAL ERROR
The 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 ERROR
When we obtain an approximate value, regardless of method used, we can calculate the error in two ways:
• Absolute error (AE): It is the difference between the actual value (RV) and approximate value (VA).
• b) Relative error is the percentage difference between the absolute value and real value. Y is calculated as
• BIBLIOGRAPHY
www.fisicanet.com.ar/fisica/.../ap01_errores.php
200.45.54.90/depar/areas/matematica/.../5.../tema_AproxiNum_2009.pdf
fcqi.tij.uabc.mx/docentes/esqueda/curso_m3.swf
html.rincondelvago.com/metodos-numericos_5.html