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Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs


Citation

Rajabi, Marzieh and Ismail, Fudziah and Senu, Norazak (2016) Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-8).

Abstract

Some new linear 3 and 5-step methods for solving special third order ordinary differential equations directly are constructed using Taylor's series expansion. A set of test problems are solved using the new method and the results are compared when the problem is reduced to a system of first order ordinary differential equations and then using the existing Runge-Kutta method. The numerical results have clearly shown the advantage and competency of the new methods.


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Official URL or Download Paper: http://aip.scitation.org/doi/abs/10.1063/1.4952516

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1063/1.4952516
Publisher: AIP Publishing
Keywords: Linear 3 and 5-step methods; Taylor series expansion; 3rd order ODEs
Depositing User: Nabilah Mustapa
Date Deposited: 08 Sep 2017 05:30
Last Modified: 08 Sep 2017 05:30
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4952516
URI: http://psasir.upm.edu.my/id/eprint/57175
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