Yazarlar

• Merdan, Mehmet(2)
• Yildirim, Ahmet(2)
• Gökdogan, Ahmet(1)
• Gökdoǧan, Ahmet(1)
• Mohyud-Din, Syed Tauseef(1)

• MakaleYalnız künye2013Scopus SJRQ1/r/gumushane/15551
  Solution of time-fractional generalized Hirota-Satsuma coupled KdV equation by generalised differential transformation method

  Merdan, Mehmet; Gökdogan, Ahmet; Yildirim, Ahmet; Mohyud-Din, Syed Tauseef

  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.

  AtıfScopus19·WoS16

  İncele
• MakaleYalnız künye2012Scopus SJRQ2/r/gumushane/13109
  Numerical solution of time-fraction modified equal width wave equation

  Merdan, Mehmet; Yildirim, Ahmet; Gökdoǧan, Ahmet

  Purpose - The purpose of this paper is to show how an application of fractional two dimensional differential transformation method (DTM) obtained approximate analytical solution of time-fraction modified equal width wave (MEW) equation. Design/methodology/approach - The fractional derivative is described in the Caputo sense. Findings - It is indicated that the solutions obtained by the two dimensional DTM are reliable and that this is an effective method for strongly nonlinear partial equations. Originality/value - The paper shows that exact solutions can also be obtained from the known forms of the series solutions.

  AtıfScopus10·WoS10·OpenAlex15

  İncele