Analytical Solutions For The Different Forms Of Telegraph Equations By Homotopy Analysis Method

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Mr. R.Rajaraman
Mr. R.Rajaraman
α SASTRA University

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Analytical Solutions For The Different Forms Of Telegraph Equations By Homotopy Analysis Method

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Abstract

In this work Homotopy Analysis Method(HAM) is used for analytic treatment of the telegraph equations .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

15 Cites in Article
  1. Jacek Banasiak,Janusz Mika (1998). Singularly perturbed telegraph equations with applications in the random walk theory.
  2. J Biazar,H Ebrahimi (2007). An approximation to the solution of Telegraph equation by Adomain Decomposition method.
  3. Behrouz Raftari,Ahmet Yildirim (2010). Analytical solution of Second-order Hyperbolic Telegraph Equation by Variational Iteration and Homotopy perturbation methods.
  4. Shijun Liao (2005). Comparison between the homotopy analysis method and homotopy perturbation method.
  5. S J Liao (2009). Notes on Homotopy analysis method:Some definitions and theorems.
  6. Shijun Liao (2004). On the homotopy analysis method for nonlinear problems.
  7. L Mustafa (2007). On exact solution of Laplace equation with Drichlet and Neumann boundary conditions by Homotopy analysis method.
  8. H Jafari,S Seifi (2009). Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation.
  9. A Molabahrami,F Khani (2009). The homotopy analysis method to solve the Burgers–Huxley equation.
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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 The Different Forms Of Telegraph Equations By Homotopy Analysis Method\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F5): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

May 14, 2012

Language
en
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In this work Homotopy Analysis Method(HAM) is used for analytic treatment of the telegraph equations .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.

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Analytical Solutions For The Different Forms Of Telegraph Equations By Homotopy Analysis Method

Mr. R.Rajaraman
Mr. R.Rajaraman SASTRA University

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