Sunarto, Andang and Ulibubin, M.U and Sulaiman, J (2016) Performance Analysis of Half-Sweep AOR Method with Nonlocal Discretization Scheme for Nonlinear Two-Point Boundary Value Problem. In: Mathematics with Economics Programme, Faculty of Science and Natural Resources, Universiti Malaysia Sabah, 88400 Kota Kinabal, Sabah, Malaysia., -, UMS Kota Kinabal Sabah Malaysia.
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Performance analysis of half-sweep AOR method with nonlocal discretization scheme for nonlinear two-point boundary value problem.pdf Download (260kB) | Preview |
Abstract
In this paper, we present the concept of Half-sweep Accelerated OverRelaxation (HSAOR) iterative method with a nonlocal discretization scheme for solving nonlinear two-point boundary value problems. Second order finite difference scheme has been used to derive the half-sweep finite difference (HSFD) approximations of the problems. Then, the nonlocal discretization scheme is applied in order to transform the system of nonlinear approximation equations into the corresponding system of linear equations. Numerical results showed that HSAOR method is superior compared to Fullsweep Gauss-seidel (FSGS), Full-sweep Successive OverRelaxation (FSSOR) and Full-sweep Accelerated Over Relaxation (FSAOR) methods.
| Item Type: | Conference or Workshop Item (Paper) |
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| Uncontrolled Keywords: | Performance Analysis of Half-Sweep AOR Method with Nonlocal Discretization Scheme for Nonlinear Two-Point Boundary Value Problem |
| Subjects: | H Social Sciences > HA Statistics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Electronics and Computer Science |
| Depositing User: | Syahril Syahril M.Ag |
| Date Deposited: | 02 Apr 2019 04:26 |
| Last Modified: | 02 Apr 2019 04:26 |
| URI: | http://repository.iainbengkulu.ac.id/id/eprint/2750 |
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