Analytical Approach to Partial Differential Equations Arising In Mechanics

B.J Adegboyegun

Analytical Approach to Partial Differential Equations Arising In Mechanics

B.J Adegboyegun * §

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Ekiti State University, Nigeria.

Analytical Approach to Partial Differential Equations Arising In Mechanics

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Abstract

In this article, we implement relatively new analytical approach, Adomian decomposition method (ADM), for solving some selected partial differential equations in mechanics. This method in applied mathematics can be used as alternative method for obtaining exact solution for different types of partial differential equations. The method takes the form of a convergent series with easily computable components. The results obtained with minimum amount of computation indicate that the method is reliable and accurate.

References

6 Cites in Article

Reference Format

G Adomian (1988). A review of decomposition method in applied mathematics.
A Wazwaz (2001). A new algorithms for solving differential equations of lane-Emden type.
R Rach (1992). Noise terms in decomposition series solution.
Abdul-Majid Wazwaz (2000). A new algorithm for calculating adomian polynomials for nonlinear operators.
Y Cherruait,Adomian (1995). Decomposition method; a new proof of convergence.
R Nagle,E Staff (1994). Fundamentals of differential 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. "Analytical Approach to Partial Differential Equations Arising In Mechanics". Global Journal of Science Frontier Research, 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

Decomposition method Partial differential equations

Classification

GJSFR-F Classification MSC 2010: 35Q35

Submission ReceivedMay 6, 2012
Peer Review Double Blind
Handling Editor
Accepted May 28, 2012
Published June 11, 2012

Version of record

v1.2

Issue date

July 2, 2012

Language

English

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Article Matrices

Total Score: 147

Country: Nigeria

Subject: Global Journal of Science Frontier Research

Authors: B.J Adegboyegun, P.S Ayenimo, E.A Ibijola. (PhD/Dr. count: 0)

View Count (all-time): 213

Total Views (Real + Logic): 957

Total Downloads (simulated): 63

Publish Date: 2012 06, Mon

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Total Views: 957

Total Downloads: 63

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