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Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods


Citation

Che Hussin, Che Haziqah and Kilicman, Adem and Mandangan, Arif (2013) Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods. In: 3rd International Conference on Mathematical Sciences (ICMS3), 17-19 Dec. 2013, Kuala Lumpur, Malaysia. (pp. 43-49).

Abstract

In this study, we solve fifth-order boundary value problems by using the DTM for linear and nonlinear differential equations and compare the results with other methods such as Adomian Decomposition Method (ADM), Noor Decomposition Method and Variational Iteration Method. We provide several numerical examples in order to show the accuracy of the method. Further, we also solve sixth-order nonlinear boundary value problems and compare the result to ADM. The present study shows that the DTM is able to provide good results with high accuracy and the method is also easy to apply.


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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/10.1063/1.4882464
Publisher: AIP Publishing LLC
Keywords: Numerical approximation and analysis; Ordinary differential equations
Depositing User: Nabilah Mustapa
Date Deposited: 24 Oct 2017 05:20
Last Modified: 24 Oct 2017 05:20
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4882464
URI: http://psasir.upm.edu.my/id/eprint/57569
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