Homotopy analysis method for the one‐dimensional hyperbolic telegraph equation with initial conditions
Articles > Article · 2013
Authors: Behrouz RAFTARI, Heidar KHOSRAVI, Ahmet YILDIRIM
International Journal of Numerical Methods for Heat & Fluid Flow, Journal Indexed in SCI Expanded, International, WoS, 2013, vol 23, pp 355-372
DOI: 10.1108/09615531311293515
Summary
Purpose The purpose of this paper is to obtain approximate analytical solution of the second order hyperbolic telegraph equation with initial conditions, by the homotopy analysis method (HAM). Design/methodology/approach The HAM solutions contain an auxiliary parameter which provides a convenient way of controlling the convergence region of the series solutions. Findings Approximate analytical solution of the second order hyperbolic telegraph equation with initial conditions is obtained by the HAM. The HAM solutions contain an auxiliary parameter which provides a convenient way of controlling the convergence region of the series solutions. Originality/value In this work, approximate analytical solution of the second order hyperbolic telegraph equation with initial conditions is obtained by the HAM. To show the efficiency of the present method, several examples are presented.