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

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

Article ID

N763C

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

Dr. Ibijola E.A

Adegboyegun B.J

DOI

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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.

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

Authors

Dr. Ibijola E.A

Adegboyegun B.J

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How to Cite

B.J Adegboyegun. 2012. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 12 (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

GJSFR Volume 12 Issue F7
Pg. 37- 42

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Submission Received May 8, 2012
Accepted May 28, 2012
Published June 9, 2012

Keywords

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

Article Matrices

Total Score: 107

Country: Nigeria

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

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

View Count (all-time): 91

Total Views (Real + Logic): 5095

Total Downloads (simulated): 2731

Publish Date: 2012 07, Mon

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Total Views: 5095

Total Downloads: 2731

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