Background and Objectives: The idea of estimating oscillating vibration problems via multinomial basis function haven been seen by some authors as a convenient
approach but not appropriate. This is as result of the behavior of the problem and as such depends largely on the step size and frequency. This research article is geared
towards computing oscillating vibrations employing exponentially fitted block Milne’s device (COVEFBMD). Materials and Methods: This is specifically designed using
interpolation and collocation via exponentially fitted method as the approximate solution to generate COVEFBMD, thereby finding the tolerance level of the method.
Results: Some numerical examples were selected and implemented on Mathematica kernel 9 to show speed, technicality and accuracy. Conclusion: The completed
solutions show that COVEFBMD performs better than the existing methods because of its ability to design a worthy step size; decide the tolerance level resulting to
maximized errors
