Bezier Polynomials with Applications

Authors

  • Nazrul Islam Department of Applied Mathematics, Dhaka University, Dhaka – 1000, Bangladesh
  • Md Shafiqul Islam Department of Applied Mathematics, Dhaka University, Dhaka – 1000, Bangladesh

DOI:

https://doi.org/10.3329/dujs.v66i2.54562

Keywords:

Galerkin method, linear and nonlinear BVPs, Bezier polynomials.

Abstract

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)

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Published

2018-07-26

How to Cite

Islam, N., & Islam, M. S. (2018). Bezier Polynomials with Applications. Dhaka University Journal of Science, 66(2), 157–162. https://doi.org/10.3329/dujs.v66i2.54562

Issue

Vol. 66 No. 2 (2018)

Section

Articles