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

[img]
Preview
Text
Comparing_linear_and_nonlinear_differential_equations_of_differential_transformation_method_by_other_numerical_methods.pdf

Download (43kB) | Preview

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
Depositing User: Unnamed user with email storage.bpmlib@ums.edu.my
Date Deposited: 10 Mar 2015 08:53
Last Modified: 12 Oct 2017 02:54
URI: http://eprints.ums.edu.my/id/eprint/10644

Actions (login required)

View Item View Item

Browse Repository
Collection
   Articles
   Book
   Speeches
   Thesis
   UMS News
Search
Quick Search

   Latest Repository

Link to other Malaysia University Institutional Repository

Malaysia University Institutional Repository