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Solution of boundary value problems using two-point direct block method with one-off step point


Citation

Zakaria, Nurul Nadirah and Abdul Majid, Zanariah and Lee, Lai Soon (2017) Solution of boundary value problems using two-point direct block method with one-off step point. Far East Journal of Mathematical Sciences, 101 (2). 375 - 394. ISSN 0972-0871

Abstract

In this paper, the two-point direct block method with one-off step is considered for solving boundary value problems (BVPs) with Dirichlet boundary conditions. The direct block method with one-off step is of type one-step method where it needs only one-point to start the next block. This method solves the second order BVPs directly without reducing it into the system of first order equations. The solutions are calculated at two-steps simultaneously using constant step size. This method is implemented together with the shooting technique using Newton method to obtain the numerical solution. Numerical results are given to show the performance of this method compared to the existing methods.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.17654/MS101020375
Publisher: Pushpa Publishing House
Keywords: Dirichlet boundary value problems; Direct block method; Shooting technique
Depositing User: Mohd Hafiz Che Mahasan
Date Deposited: 24 Sep 2018 08:50
Last Modified: 24 Sep 2018 08:50
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.17654/MS101020375
URI: http://psasir.upm.edu.my/id/eprint/63257
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