Analytical Solutions For Some Of The Nonlinear Hyperbolic-Like Equations With Variable Coefficients

Analytical Solutions For Some Of The Nonlinear Hyperbolic-Like Equations With Variable Coefficients

Mr. R.Rajaraman

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R.Rajaraman

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Dr.G.Hariharan

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α SASTRA University

Analytical Solutions For Some Of The Nonlinear Hyperbolic-Like Equations With Variable Coefficients

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Abstract

In this work Homotopy Analysis Method(HAM) is used for analytic treatment of the nonlinear hyperbolic-like equations with variable coefficients. This method can provide analytical solutions to the problems by just utilizing the initial conditions. The proposed iterative scheme finds the solution without any discretization, linearization or restrictive assumptions. The proposed method solves nonlinear problems without using Adomain polynomials which is the advantage of this method over Adomain Decomposition method. The results reveal that the HAM is very effective, fast, simple, convenient, flexible and accurate. Outcomes prove that HAM is in very good agreement with ADM,VIM HPM.

References

16 Cites in Article

Reference Format

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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

Mr. R.Rajaraman. 2012. \u201cAnalytical Solutions For Some Of The Nonlinear Hyperbolic-Like Equations With Variable Coefficients\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F5): .

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GJSFR Volume 12 Issue F5
Pg. 55- 60

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

homotopy analysis method Hyperbolic-like equation Variable coefficients

Submission ReceivedMarch 17, 2012
Peer Review Double Blind
Handling Editor
Accepted April 6, 2012
Published April 20, 2012

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v1.2

Issue date

May 14, 2012

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Article Matrices

Total Score: 107

Country: India

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

Authors: R.Rajaraman, Dr.G.Hariharan (PhD/Dr. count: 1)

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Publish Date: 2012 05, Mon

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Total Downloads: 2670

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