QSSOR and cubic non-polynomial spline method for the solution of two- point boundary value problems

Andang Sunarto and P Agarwal and Chew, Jackel Vui Lung and H Justine and Jumat Sulaiman (2021) QSSOR and cubic non-polynomial spline method for the solution of two- point boundary value problems.

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Official URL: https://iopscience.iop.org/article/10.1088/1742-65...

Abstract

Two-point boundary value problems are commonly used as a numerical test in developing an efficient numerical method. Several researchers studied the application of a cubic non-polynomial spline method to solve the two-point boundary value problems. A preliminary study found that a cubic non-polynomial spline method is better than a standard finite difference method in terms of the accuracy of the solution. Therefore, this paper aims to examine the performance of a cubic non-polynomial spline method through the combination with the full-, half-, and quarter-sweep iterations. The performance was evaluated in terms of the number of iterations, the execution time and the maximum absolute error by varying the iterations from full-, half-to quarter-sweep. A successive over-relaxation iterative method was implemented to solve the large and sparse linear system. The numerical result showed that the newly derived QSSOR method, based on a cubic non-polynomial spline, performed better than the tested FSSOR and HSSOR methods.

Item Type:	Proceedings
Keyword:	QSSOR , Two-point boundary value problems , Cubic non-polynomial spline
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics
Department:	FACULTY > Faculty of Science and Natural Resources
Depositing User:	DG MASNIAH AHMAD -
Date Deposited:	31 Oct 2022 11:05
Last Modified:	31 Oct 2022 11:05
URI:	https://eprints.ums.edu.my/id/eprint/34631

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