Open AccessBezier Polynomials with Applications
Author(s) -
Nazrul Islam,
Md. Shafiqul Islam
Publication year - 2018
Publication title -
the dhaka university journal of science
Language(s) - English
Resource type - Journals
eISSN - 2408-8528
pISSN - 1022-2502
DOI - 10.3329/dujs.v66i2.54562
Subject(s) - bézier curve , galerkin method , mathematics , boundary value problem , nonlinear system , difference polynomials , basis function , boundary (topology) , orthogonal polynomials , mathematical analysis , geometry , physics , quantum mechanics
In this paper, we use the Galerkin technique for solving higher order linear and nonlinear boundary value problems (BVPs). The well-known Bezier polynomials are exploited as basis functions in the technique. To use the Bezier polynomials, we need to satisfy the corresponding homogeneous form of the boundary conditions and modification is thus needed. A rigorous matrix formulation is developed by the Galerkin method for linear and nonlinear systems and solved it using Bezier polynomials. The approximate solutions are compared to the exact solutions through tabular form. All problems are computed using the software MATHEMATICA.
Dhaka Univ. J. Sci. 66(2): 157-162, 2018 (July)