Homotopy analysis method for the one-dimensional hyperbolic telegraph equation with initial conditions
Küçük Resim Yok
Tarih
2013
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Emerald Group Publishing Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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.
Açıklama
Anahtar Kelimeler
Differential equations, Telegraph equation, Homotopy analysis method, Hyperbolic partial differential equation
Kaynak
International Journal of Numerical Methods For Heat & Fluid Flow
WoS Q Değeri
Q3
Scopus Q Değeri
N/A
Cilt
23
Sayı
2
