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

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O68AQ

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

Mr. R.Rajaraman
Mr. R.Rajaraman Sastra University, Thirumalaisamudram, Thanjavur, Tamilnadu, India.
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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.

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

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.

Mr. R.Rajaraman
Mr. R.Rajaraman Sastra University, Thirumalaisamudram, Thanjavur, Tamilnadu, India.

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Mr. R.Rajaraman. 2012. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F5): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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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, Thirumalaisamudram, Thanjavur, Tamilnadu, India.

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