Numerical Computations of Eleventh Order Boundary Value Problems with Bezier Polynomials by Galerkin Weighted Residual Method
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@Article{JICS-15-083,
author = {Nazrul Islam},
title = {Numerical Computations of Eleventh Order Boundary Value Problems with Bezier Polynomials by Galerkin Weighted Residual Method},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {15},
number = {2},
pages = {083--089},
abstract = { Some techniques are available to solve numerically higher order boundary value problems. The
aim of this paper is to apply Galerkin weighted residual method (GWRM) for solving eleventh order linear
and nonlinear boundary value problems. Using GWRM, approximate solutions of eleventh-order boundary
value problems are developed. This approach provides the solution in terms of a convergent series.
Approximate results are given for several examples to illustrate the implementation and accuracy of the
method. The results are depicted both graphically and numerically. All results are compared with the
analytical solutions to show the convergence of the proposed algorithm. It is observed that the present
method is a more effective tool and yields better results. All problems are computed using the software
MATLAB R2017a.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22383.html}
}
TY - JOUR
T1 - Numerical Computations of Eleventh Order Boundary Value Problems with Bezier Polynomials by Galerkin Weighted Residual Method
AU - Nazrul Islam
JO - Journal of Information and Computing Science
VL - 2
SP - 083
EP - 089
PY - 2024
DA - 2024/01
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22383.html
KW - Differential Equations
KW - Numerical solutions
KW - Galerkin method
KW - Bezier polynomials.
AB - Some techniques are available to solve numerically higher order boundary value problems. The
aim of this paper is to apply Galerkin weighted residual method (GWRM) for solving eleventh order linear
and nonlinear boundary value problems. Using GWRM, approximate solutions of eleventh-order boundary
value problems are developed. This approach provides the solution in terms of a convergent series.
Approximate results are given for several examples to illustrate the implementation and accuracy of the
method. The results are depicted both graphically and numerically. All results are compared with the
analytical solutions to show the convergence of the proposed algorithm. It is observed that the present
method is a more effective tool and yields better results. All problems are computed using the software
MATLAB R2017a.
Nazrul Islam. (2024). Numerical Computations of Eleventh Order Boundary Value Problems with Bezier Polynomials by Galerkin Weighted Residual Method.
Journal of Information and Computing Science. 15 (2).
083-089.
doi:
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