Numerical solutions of eighth order BVP by the Galerkin residual technique with Bernstein and Legendre polynomials

Md. Shafiqul Islam and Md. Bellal Hossain

Applied Mathematics and Computation, 2015, vol. 261, issue C, 48-59

Abstract: In this paper, Galerkin method with Bernstein and Legendre polynomials as basis functions is used for the numerical solutions of eighth order linear and nonlinear differential equations for two different cases of boundary conditions. In this method, the basis functions are transformed into a new set of basis functions which vanish at the boundary where the essential types of boundary conditions are defined and a matrix formulation is derived for solving the eighth order boundary value problems (BVPs). The numerical results, obtained by the proposed method, reflect that the performance of the present method is reliable, more efficient and converges monotonically to the exact solutions.

Keywords: Numerical solutions; Eighth order BVP; Bernstein and Legendre polynomials; Galerkin method (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315004051
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:261:y:2015:i:c:p:48-59

DOI: 10.1016/j.amc.2015.03.091

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().