Bezier Polynomials and its Applications with the Tenth and Twelfth Order Boundary Value Problems
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@Article{JICS-15-052,
author = {Nazrul Islam},
title = {Bezier Polynomials and its Applications with the Tenth and Twelfth Order Boundary Value Problems},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {15},
number = {1},
pages = {052--066},
abstract = { The aim of this paper is to apply Galerkin weighted residual method for solving tenth and
twelfth order linear and nonlinear boundary value problems (BVPs). A trial function is assumed which is
made to satisfy the boundary conditions given, and used to generate the residual to be minimized. The
method is formulated as a rigorous matrix form. To investigate the effectiveness of the method, numerical
examples were considered which were compared with both the analytic solutions and the solutions obtained
by our method. It is observed that, the proposed method is very accurate, better, efficient and appropriate. All
problems are computed using the software MATLAB.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22397.html}
}
TY - JOUR
T1 - Bezier Polynomials and its Applications with the Tenth and Twelfth Order Boundary Value Problems
AU - Nazrul Islam
JO - Journal of Information and Computing Science
VL - 1
SP - 052
EP - 066
PY - 2024
DA - 2024/01
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22397.html
KW - Numerical solutions, Linear and nonlinear tenth and twelfth order BVPs, Galerkin method,
Bezier polynomials.
AB - The aim of this paper is to apply Galerkin weighted residual method for solving tenth and
twelfth order linear and nonlinear boundary value problems (BVPs). A trial function is assumed which is
made to satisfy the boundary conditions given, and used to generate the residual to be minimized. The
method is formulated as a rigorous matrix form. To investigate the effectiveness of the method, numerical
examples were considered which were compared with both the analytic solutions and the solutions obtained
by our method. It is observed that, the proposed method is very accurate, better, efficient and appropriate. All
problems are computed using the software MATLAB.
Nazrul Islam. (2024). Bezier Polynomials and its Applications with the Tenth and Twelfth Order Boundary Value Problems.
Journal of Information and Computing Science. 15 (1).
052-066.
doi:
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