Homotopy Padé method for solving second-order one-dimensional telegraph equation
Articles > Article · 2013
Authors: Azizeh JABBARI, Hossein KHEIRI, Ahmet YILDIRIM
International Journal of Numerical Methods for Heat & Fluid Flow, Journal Indexed in SCI Expanded, International, WoS, 2013, vol 23, pp 1192-1203
Summary
Purpose – The purpose of this paper is to obtain analytic solutions of telegraph equation by the homotopy Padé method. Design/methodology/approach – The authors used Maple Package to calculate the solutions obtained from the homotopy Padé method. Findings – The obtained approximation by using homotopy method contains an auxiliary parameter which is a simple way to control and adjust the convergence region and rate of solution series. The approximation solutions by [m, m] homotopy Padé technique are often independent of auxiliary parameter h and this technique accelerates the convergence of the related series. Finally, numerical results for some test problems with known solutions are presented and the numerical results are given to show the efficiency of the proposed techniques. Originality/value – The paper is shown that homotopy Padé technique is a promising tool with accelerated convergence for complicated nonlinear differential equations.