Adomian Decomposition Method and Variational Iteration Method for Solving Fourth Order Differential Equation with Initial Conditions

Bello, K. A. and Taiwo, O. A. and Adeyanju, M. A. and Abdulkareem, Ademola and Abubaka, A. and Ibrahim, G. O. (2021) Adomian Decomposition Method and Variational Iteration Method for Solving Fourth Order Differential Equation with Initial Conditions. JOURNAL OF SCIENCE TECHNOLOGY AND EDUCATION, 9 (4). pp. 240-249. ISSN 2277-0011

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Abstract

This paper discusses the numerical solutions of fourth order differential equation with initial value problem. The numerical methods consider to generate the sequence of improving approximate solution of the problems considered in both Adomian decomposition method (ADM) and Variational Iteration Method (VIM). The methods are applied on three differential examples of fourth order ordinary differential equation whose exact solutions are known. It is established that the VIM gives better solution as its series solution converges faster when compared to ADM.

Item Type:	Article
Uncontrolled Keywords:	Adomian decomposition Method (ADM), Variational iteration Method (VIM), fourth-order differential equation, initial conditions.
Subjects:	Q Science > QA Mathematics T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions:	Faculty of Engineering, Science and Mathematics > School of Electronics and Computer Science Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Patricia Nwokealisi
Date Deposited:	21 Nov 2024 12:32
Last Modified:	21 Nov 2024 12:32
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/18606

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