FORECASTING THE NUMBER OF STUDENTS FOR SOME OF THE FACULTIES OF THE UNIVERSITY OF SABHA USING MATLAB APPLIED ON THE NEWTON FORWARD FORMULAS AND THE SPLINE INTERPOLATION

Authors

  • K. Binyahmed Mathematics, Science/University Sebha, Libya
  • N.AlhajIbrahim Mathematics, Science/University Sebha, Libya
  • A. Alarabi Mathematics, Science/University Sebha, Libya

DOI:

https://doi.org/10.53555/eijas.v1i4.21

Keywords:

Interpolation, Newton forward formulas Interpolation, spline Interpolation

Abstract

This study deals with the ideal predictions of the number of students that are expected to be enrolled in some of the faculties of the University of Sabha for the next two years using two methods. The first method is Newton forward formulas Interpolation, and the second method is spline Interpolation and applying them to the Math lab. A comparison between these two methods is conducted. The faculties include in this study are: Faculty of Arts, Faculty of Science, Faculty of Agriculture, Faculty of Medicine and Faculty of Dentistry.The results showed errors in the rate within the expected values of increases as the years increase. In addition, that the Newton's forward method is better than cubic splines method because the splinesmethod Uses a third-order equation and has the property of oscillation, especially in distant predictions.

References

. Xue, D. and Y. Chen.,(2016). Scientific Computing with MATLAB, CRC Press.

. Stark, P. A.,(1970). Introduction to numerical methods.

. Wylie, C. R., (1960). Advanced engineering mathematics.

. Atkinson, K. E., (2008). An introduction to numerical analysis, John Wiley & Sons.

. Richard, L. and J. Burden., (1988). Douglas faires, numerical analysis, PWS Publishing Co., Boston, MA.

. Breuß, M., et al. (2016). A Numerical Study of Newton Interpolation with Extremely High Degrees. arXiv preprint arXiv:1609.08839.

. Iserles, A., (1991). Approximation by Spline Functions, JSTOR.

. Sastry, S. S., (2012). Introductory methods of numerical analysis, PHI Learning Pvt. Ltd.

. Yang, W. Y., et al., (2005). Applied numerical methods using MATLAB, John Wiley & Sons.

. Sun, W. and Y.-X. Yuan.,(2006). Optimization theory and methods: nonlinear programming, Springer Science & Business Media.

. Fritsch, F. N. and R. E. Carlson., (1980). Monotone piecewise cubic interpolation. SIAM Journal on Numerical Analysis 17(2): 238-246.

. Chapra, S. C., (2012). Applied numerical methods. With MATLAB for Engineers and Scientists.

. Späth, H., (1969). Exponential spline interpolation. Computing 4(3): 225-233.

Downloads

Published

2015-12-27