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

Che Haziqah Che Hussin, and Adem Kilicman, and Arif Mandangan, (2014) Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods. AIP Conference Proceedings, 1602 . pp. 43-49. ISSN 0094243X

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Official URL: http://dx.doi.org/10.1063/1.4882464

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.

Item Type:Article
Uncontrolled Keywords:Numerical approximation and analysis; Ordinary differential equations
Subjects:Q Science > QA Mathematics
ID Code:10644
Deposited By:IR Admin
Deposited On:10 Mar 2015 16:53
Last Modified:10 Mar 2015 16:53

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