Analytical Solutions For The Different Forms Of Telegraph Equations By Homotopy Analysis Method
Homotopy Analysis method, telegraph equations
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.
Downloads
How to Cite
References
Jacek Banasiak, Janusz Mika (1998) Singularly perturbed telegraph equations with applications in the random walk theory. 11(1), 9-28.
J Biazar, H Ebrahimi (2007) An approximation to the solution of Telegraph equation by Adomain Decomposition method. 2(45), 2231-2236.
Behrouz Raftari, Ahmet Yildirim (2010) Analytical solution of Second-order Hyperbolic Telegraph Equation by Variational Iteration and Homotopy perturbation methods.
Shijun Liao (2005) Comparison between the homotopy analysis method and homotopy perturbation method. 169(2), 1186-1194.
S J Liao (2009) Notes on Homotopy analysis method:Some definitions and theorems. 14, 983-997.
Shijun Liao (2004) On the homotopy analysis method for nonlinear problems. 147(2), 499-513.
L Mustafa (2007) On exact solution of Laplace equation with Drichlet and Neumann boundary conditions by Homotopy analysis method. 365, 412-415.
H Jafari, S Seifi (2009) Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation. 14(5), 2006-2012.
A Molabahrami, F Khani (2009) The homotopy analysis method to solve the Burgers-Huxley equation. 10(2), 589-600.
Ram Pandey (2011) An analytic algorithm for the space-time fractional advectiondispersion equation. 182(5), 1134-1144.
Xindong Zhang, Yinnian Tang, He (2011) Homotopy analysis method for higher-order fractional integro-differential equations. 62(8), 3194-3203.
S Abbasbandy, E Babolian, M Ashtiani (2009) Numerical solution of the generalized Zakharov equation by homotopy analysis method. 14(12), 4114-4121.
Antonio Mastroberardino (2011) Homotopy analysis method applied to electrohydrodynamic flow. 16, 2730-2736.
(2011) A new application of the Homotopy Analysis Method:Solvine sturm-Liouville problems. 16(1), 112-126.
Published
2012-05-14
Issue
Section
License
Copyright (c) 2012 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.