Fourth roots of the natural numbers from 1 to 30 have been calculated by Bisection method inthe interval [0, 3] using stopping tolerance 0f 0.00001. Calculated roots have been comparedwith the actual values of roots to obtain error and percentage error in the calculated roots.Numerical rate of convergence has also been calculated in the determination of each fourthroot. The highest numerical rate of convergence of Bisection method has been observed in thecalculation of fourth root of 2 and is equal to 1.754385964912. The lowest numerical rate ofconvergence of Bisection method has been observed in the calculation of fourth roots of 1, 3,4-8, 10, 12 and is equal to 1.333333333333. Average error, average percentage error and averagenumerical rate of convergence of Bisection method have been found to be 0.000000062635,0.000003048055 and 1.458082183940 respectively
The method of false position has been applied to calculate the fourth roots of the naturalnumbers from 1 to 30 in the interval [0, 3] with the stopping tolerance of 0.00001 using C++computer program. The minimum error 0.000000029282 and minimum percentage error0.000001251170 have been obtained in the determination of fourth roots of 30. The maximumerror 0.000002324581 and maximum percentage error 0.000232458100 have been obtained inthe determination of fourth roots of 1. The average value of the error is 0.000000392037 and theaverage value of percentage error is 0.000027500512. Minimum, maximum and average valuesof the numerical rate of convergence have been found to be 0.239808153477, 1.851851851852and 1.197514787730 respectively.
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