Homotopy analysis method for the one-dimensional hyperbolic telegraph equation with initial conditions

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.