An approximate analytical solution of time-fractional telegraph equation
Makaleler > Tam Makale · 2011
Yazarlar: S. DAS, K. VISHAL, P. K. GUPTA, Ahmet YILDIRIM
Applied Mathematics and Computation, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2011, cilt 217, ss 7405-7411
DOI: 10.1016/j.amc.2011.02.030
Özet
In this article, the powerful, easy-to-use and effective approximate analytical mathematical tool like homotopy analysis method (HAM) is used to solve the telegraph equation with fractional time derivative a (1 < alpha <= 2). By using initial values, the explicit solutions of telegraph equation for different particular cases have been derived. The numerical solutions show that only a few iterations are needed to obtain accurate approximate solutions. The method performs extremely well in terms of efficiency and simplicity to solve this historical model. (C) 2011 Elsevier Inc. All rights reserved.