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Exponentially fitted explicit hybrid method for solving special second order initial value problems


Citation

Ismail, Fudziah and Samat, Faieza and Suleiman, Mohamed and Md. Arifin, Norihan (2010) Exponentially fitted explicit hybrid method for solving special second order initial value problems. In: International Conference on Mathematical Science (ICMS), 23-27 Nov. 2010, Bolu, Turkey. (pp. 467-473).

Abstract

The aim of the research is to improve the existing Hybrid method, so that it is more efficient in solving special second order ordinary differential equations of the form y” = f(x, y),y(x0) = y0,y′(x0) = y′0 which has solutions which are periodic or oscillating. Based on the existing Hybrid method derived by Chawla we constructed the exponentially fitted hybrid method using the technique introduced by Simos and Vigo‐Aguiar, resulting in an exponentially fitted hybrid method. The method can be used to solve special second order ordinary differential equations which have oscillating solutions. Numerical experiments based on the exponentially fitted hybrid method and the non exponentially fitted method are tabulated and compared in terms of accuracy, which clearly shown that the exponentially fitted method is more accurate.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.3525148
Publisher: American Institute of Physics
Keywords: Exponentially fitted; Hybrid method; Ordinary differential equations; Special second order
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 03:48
Last Modified: 26 Sep 2017 03:48
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.3525148
URI: http://psasir.upm.edu.my/id/eprint/57266
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