Homotopy analysis method for the one‐dimensional hyperbolic telegraph equation with initial conditions
Makaleler > Tam Makale · 2013
Yazarlar: Behrouz RAFTARI, Heidar KHOSRAVI, Ahmet YILDIRIM
International Journal of Numerical Methods for Heat & Fluid Flow, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2013, cilt 23, ss 355-372
DOI: 10.1108/09615531311293515
Özet
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.