ABSTRACT
NUMERICAL COMPUTATIONS OF GENERAL NON-LINEAR THIRD ORDER BOUNDARY VALUE PROBLEMS BY GALERKIN WEIGHTED RESIDUAL TECHNIQUE WITH MODIFIED LEGENDRE AND BEZIER POLYNOMIALS
Journal: Matrix Science Mathematic (MSMK)
Author: Nazrul Islam, Mohammad Asif Arefin, Md. Nayan Dhali
This is an open access article distributed under the Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
DOI: 10.26480/msmk.01.2021.24.28
Several different approaches are implemented and used to solve higher order non-linear boundary value problems (BVPs). Galerkin weighted residual technique (GWRT) are commonly used to solve linear and non-linear BVPs. In this paper, we have proposed GWRT for the numerical computations of general third order three-point non-linear BVPs. Modified Legendre and Bezier Polynomials, over the interval [0, 1], are chosen separately as a basis functions. The main advantage of this method is its efficiency and simple applicability. Numerical result is presented to illustrate the performance of the proposed method. The results clearly show that the proposed method is suitable for solving third order nonlinear BVPs
| Pages | 24-28 |
| Year | 2021 |
| Issue | 1 |
| Volume | 5 |
