Malaysian Journal of Mathematical Sciences, April 2019, Vol. 13(S)
Special Issue: 3rd International Conference on Mathematical Sciences and Statistics (ICMSS2018)
Two Point Diagonally Block Method for Solving Boundary Value Problems with Robin Boundary Conditions
Majid, Z. A., Nasir, N. M., Ismail, F., and Bachok, N.
Corresponding Email: am_zana@upm.edu.my
Received date: -
Accepted date: -
Abstract:
This numerical study emphasizes on fifth-order multistep block method for solving second-order boundary value problems(BVPs) imposing Robin boundary conditions. The shooting technique will be utilized to compute the approximate solutions at two-point simultaneously. The implementation of the predictor-corrector scheme follows the \(PE(CE)^r\) mode. Numerical results are presented to give a clear view of the performances for the proposed method. The order and stability of the method are also discussed.
Keywords: Block method, predictor-corrector, Robin boundary conditions, shooting technique
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