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 |
| Statistic Details: | View Download Statistic |
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