Numerical accuracy of bisection method
Keywords:
Bisection method, numerical accuracy, percentage error, Intermediate-Value theorem, algorithm.Abstract
A computer program in C++ language has been developed to calculate square roots of numbers from 1 to 25 in interval [0, 6] using bisection method. Accuracy of bisection method has been found out in each calculation. Lowest accuracy has been observed in the calculation of square root of 1 in the interval [0, 6] and percentage error is equal to 0.000381469700. Highest accuracy has been observed in the evaluation of square root of 13 in the interval [0, 6] and percentage error is equal to 0.000000905160. Average percentage error of bisection method in the calculation of square roots of natural numbers from 1 to 25 has been found to be 0.000041549568 which indicates that the accuracy of bisection method can be increased by reducing tolerance value.
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