Citation
Jikantoro, Yusuf Dauda and Ismail, Fudziah and Senu, Norazak and Ibrahim, Zarina Bibi
(2018)
Hybrid methods for direct integration of special third Order ordinary differential equations.
Applied Mathematics and Computation, 320.
452 - 463.
ISSN 0096-3003
Abstract
In this paper we present a new class of direct numerical integrators of hybrid type for special third order ordinary differential equations (ODEs),y'''=f(x,y) ; namely, hybrid methods for solving third order ODEs directly (HMTD). Using the theory of B-series, order of convergence of the HMTD methods is investigated. The main result of the paper is a theorem that generates algebraic order conditions of the methods that are analogous to those of two-step hybrid method. A three-stage explicit HMTD is constructed. Results from numerical experiment suggest the superiority of the new method over several existing methods considered in the paper.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research Faculty of Science |
| DOI Number: | https://doi.org/10.1016/j.amc.2017.10.003 |
| Publisher: | Elsevier |
| Keywords: | Hybrid method; Three-step method; B-series; Order conditions; Third order ordinary differential equations; Numerical integrator |
| Depositing User: | Mr. Sazali Mohamad |
| Date Deposited: | 05 Dec 2019 03:30 |
| Last Modified: | 05 Dec 2019 03:30 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.amc.2017.10.003 |
| URI: | http://psasir.upm.edu.my/id/eprint/74527 |
| Statistic Details: | View Download Statistic |
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