Nadirah, Mohd Nasir and Zanariah, Abdul Majid and Fudziah, Ismail and Norfifah, Bachok (2019) Two-point diagonally implicit multistep block method for solving Robin boundary value problems using variable step size strategy. ASM Science Journal, 12 (Spe. Issue 5). pp. 10-16. ISSN 1823-6782. (Published)
|
Pdf
PAPER 2.pdf Download (477kB) | Preview |
Abstract
This study focuses on the multistep integration method for approximating directly the solutions of the second order boundary value problems (BVPs) with Robin boundary conditions. The derivation of the predictor and corrector formulas uses Lagrange interpolation polynomial in the form of Adam's method. Two numerical solutions are computed concurrently within a block method with non-uniformly step size. The implementation of multistep block method follows the m PE(CE) procedure via shooting technique. Newton divided difference interpolation method is used during the iterative process for estimating the guessing values. The properties including the order, zerostable and stability region of the proposed method are discussed. Numerical examples are given to demonstrate the computational efficiency of the developed method.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Boundary value problems; Direct block method; Robin boundary conditions |
| Subjects: | Q Science > QA Mathematics |
| Faculty/Division: | Center for Mathematical Science |
| Depositing User: | Dr. Nadirah Mohd Nasir |
| Date Deposited: | 05 Nov 2021 07:36 |
| Last Modified: | 05 Nov 2021 07:36 |
| URI: | http://umpir.ump.edu.my/id/eprint/32341 |
| Download Statistic: | View Download Statistics |
Actions (login required)
 |
View Item |