SPECTRAL-BERNSTEIN RESIDUAL METHOD FOR THE SOLUTION OF BOUNDARY VALUE PROBLEM GOVERNING DEFLECTION OF A BEAM VIA MATLAB

Authors

  • A. s. OLAGUNJU DEPARTMENT OF MATHEMATICS, FEDERAL UNIVERSITY LAFIA, LAFIA ,
  • M. C. NWONYE DEPARTMENT OF MATHEMATICAL SCIENCES, FEDERAL UNIVERSITY LAFIA, LAFIA,

Abstract

This work focuses on the use of Bernstein basis function in the application of Spectral method for numerical solution of differential equations governing deflection of prismatic beam subject to transverse loading. The solution takes the form of linear combination of Bernstein basis functions and spectral coefficients. The entire solution process is automated in MATLAB and a set of illustrative examples are given to demonstrate the effectiveness and accuracy of the technique.

References

B. Mercier, An Introduction to the Numerical Analysis of Spectral Methods, Springer-Verlag, 1989.

J.P Boyd, Chebyshev and Fourier spectral method. , Dover, New York, 2001

C. Canuto, M. Y. Hussaini, A. Quarteroni, Th.A. Zang, Spectral methods fundamentals in single domains, 2006.

S. N. Bernstein, Demonstration du theoreme de weierstrass fondee surlecalcul des probabilities, Comm. Soc. Math. Kharkov 13 (1) 1-2, 1912.

D. Gottlieb, S. Orszag, Numerical analysis of spectral methods theory and application, SIAM, Philadelphia 26, 2005.

Downloads

Published

2019-09-20

Issue

Vol. 38 No. 2 (2019): :

Section

Articles

How to Cite

SPECTRAL-BERNSTEIN RESIDUAL METHOD FOR THE SOLUTION OF BOUNDARY VALUE PROBLEM GOVERNING DEFLECTION OF A BEAM VIA MATLAB. (2019). Journal of the Nigerian Mathematical Society, 38(2), 211-222. https://ojs.ictp.it/jnms/index.php/jnms/article/view/473