A Comparison of Adomianas Decomposition Method and Picard Iterations Method in Solving Nonlinear Differential Equations

B.J Adegboyegun

A Comparison of Adomianas Decomposition Method and Picard Iterations Method in Solving Nonlinear Differential Equations

B.J Adegboyegun * §

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Ekiti State University, Nigeria.

A Comparison of Adomianas Decomposition Method and Picard Iterations Method in Solving Nonlinear Differential Equations

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Abstract

In this paper,nonlinear differential equations are solved through Adomian decomposition method(ADM) and the results are compared with those of Picard iterations method. It is noted that ADM takes the form of a convergent series with easily computable components. The ADM method is able to solve large class of nonlinear equations effectively, more easily and accurately; and thus the method has been widely applicable to solve any class of equations in sciences and engineering.

References

9 Cites in Article

Reference Format

E Ibijola,B Adegboyegun (2008). J on AdomianDecompositoon Method (ADM) for Numerical Solution of Ordinary Differential Equation.
B Adegboyegun,E Ibijola (2008). A on the Theory and Application of Adomian Decomposition Method for Numerical Solution of Second other Ordinary Differential Equation.
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N Bellomo,D Sarafyan (1987). On Adomian's decomposition method and some comparisons with Picard's iterative scheme.
Michael Golberg (1999). A note on the decomposition method for operator equations.
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

B.J Adegboyegun. 2012. "A Comparison of Adomianas Decomposition Method and Picard Iterations Method in Solving Nonlinear Differential Equations". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F7).

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GJSFR Volume 12 Issue F7

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Adomian decomposition Nonlinear differential equation Picard iteration Volteral integral equation of first kind

Classification

GJSFR-F Classification MSC 2010: 34L30

Submission ReceivedMay 8, 2012
Peer Review Double Blind
Handling Editor
Accepted May 28, 2012
Published June 9, 2012

Version of record

v1.2

Issue date

July 2, 2012

Language

English

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Article Matrices

Total Score: 151

Country: Nigeria

Subject: Global Journal of Science Frontier Research

Authors: Dr. Ibijola E.A , Adegboyegun B.J (PhD/Dr. count: 1)

View Count (all-time): 256

Total Views (Real + Logic): 2001

Total Downloads (simulated): 114

Publish Date: 2012 06, Sat

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Total Views: 2K

Total Downloads: 114

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