Solution of time‐fractional generalized Hirota‐Satsuma coupled KdV equation by generalised differential transformation method
Makaleler > Tam Makale · 2013
Yazarlar: Mehmet Merdan, Ahmet Gokdogan, Ahmet YILDIRIM, Syed Tauseef MOHYUD-DIN
International Journal of Numerical Methods for Heat & Fluid Flow, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2013, cilt 23, ss 927-940
Özet
Purpose In this article, the aim is to obtain an approximate analytical solution of time‐fraction generalized Hirota‐Satsuma coupled KDV with the help of the two dimensional differential transformation method (DTM). Exact solutions can also be obtained from the known forms of the series solutions. Design/methodology/approach Two dimensional differential transformation method (DTM) is used. Findings In this paper, the fractional differential transformation method is implemented to the solution of time‐fraction generalized generalized Hirota‐Satsuma coupled KDV with a number of initial and boundary values has been proved. DTM can be applied to many complicated linear and strongly nonlinear partial differential equations and does not require linearization, discretization, restrictive assumptions or perturbation. The presented method is a numerical method based on the generalised Taylor series expansion which constructs an analytical solution in the form of a polynomial. Originality/value This is an original work in which the results indicate that the method is powerful and significant for solving time‐fraction generalized generalized Hirota‐Satsuma coupled KDV type differential equations.