Quarter-sweep Nonlocal Discretization Scheme with QSSOR Iteration for Nonlinear Two-point Boundary Value Problems

4th International Conference on Science & Engineering in Mathematics, Chemistry and Physics 2016

数学;化学;物理学

Alibubin, M.U.^1 ; Sunarto, A.^1 ; Sulaiman, J.^1

Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Malaysia^1

关键词: Discretization scheme;    Nonlinear approximation;    Nonlocal;    Numerical results;    Second orders;    Successive over relaxation;    System of linear equations;    Two point boundary value problems;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/710/1/012023/pdf
DOI  :  10.1088/1742-6596/710/1/012023

来源: IOP

【 摘 要 】

The aim of this paper is to consider the Quarter-sweep Successive Over Relaxation (QSSOR) iteration for solving nonlinear two-point boundary value problems. The second order finite difference (FD) method is applied to derive the quarter-sweep nonlocal discretization scheme for the sake of transforming the system of nonlinear approximation equations into the corresponding system of linear equations. The formulation and the implementation of the methods are discussed. In addition, the numerical results by solving the proposed problems using QSSOR method are included and compared with the Full-sweep Successive Over Relaxation (FSSOR) and Half-sweep Successive Over Relaxation (HSSOR) methods.