FOURTH - ORDER IMPROVED FINITE DIFFERENCE APPROACH TO PURE BENDING ANALYSIS OF LINE CONTINUUM.

O.M. Ibearugbulem, J. C. Ezeh, U.O. Okpara

Abstract: Analytical Methods provides exact solutions which have restrictions due to their inherent difficulties. On the other hand, Numerical methods provide approximate solution to governing differential equations. In this research, Improved Finite Difference Method (IFDM) using Polynomial series was used to develop a finite difference pattern. The patterns were applied in analyzing pure bending of line continuum with various boundary conditions. The results obtained from this numerical method were compared with those from exact method to check the accuracy of the solution. The results were found to be identical and very close to the exact results, with percentage difference ranging from 0 – 0.02%. Hence, Improved Finite Difference Method provides simple and approximate solution that are close to the exact value for pure bending analysis of line continuum

Keywords: Improved Finite Difference, Polynomial Series, Linear continuum, Numerical Methods…

DOI: https://doi.org/10.15623/ijret.2014.0302102