Differential transformation method for solving a neutral functional-differential equation with proportional delays

Authors

  • A. GOKDOGAN
  • A. YILDIRIM
  • M. MERDAN
Abstract:

In this article differential transformation method (DTMs) has been used to solve neutral functional-differential equations with proportional delays. The method can simply be applied to many linear and nonlinear problems and is capable of reducing the size of computational work while still providing the series solution with fast convergence rate. Exact solutions can also be obtained from the known forms of the series solutions. The results show that the method is effective, suitable, easy, practical and accurate.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

differential transformation method for solving a neutral functional-differential equation with proportional delays

in this article differential transformation method (dtms) has been used to solve neutral functional-differential equations with proportional delays. the method can simply be applied to many linear and nonlinear problems and is capable of reducing the size of computational work while still providing the series solution with fast convergence rate. exact solutions can also be obtained from the kno...

full text

differential transformation method for solving a neutral functional-differential equation with proportional delays

in this article differential transformation method (dtms) has been used to solve neutral functional-differential equations with proportional delays. the method can simply be applied to many linear and nonlinear problems and is capable of reducing the size of computational work while still providing the series solution with fast convergence rate. exact solutions can also be obtained from the kno...

full text

On Neutral Functional]Differential Equations with Proportional Delays

and the asymptotic behaviour of its solutions. We prove that the existence and uniqueness of solutions depend mainly on the coefficients c , i s 1, 2, . . . , and on i the smoothness of functions in the solution space. As far as the asymptotic behaviour of analytic solutions is concerned, the c have little effect. We prove that i Ž . if Re a ) 0 then the solution y t either grows exponentially ...

full text

DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING FUZZY FRACTIONAL HEAT EQUATIONS

In this paper, the differential transformation method (DTM) was applied to solve fuzzy fractional heat equations. The elementary properties of this method were given. The approximate and exact solutions of these equations were calculated in the form of series with easily computable terms. The proposed method was also illustrated by some examples. The results revealed that DTM is a highly effect...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 1  issue 1

pages  -

publication date 2012-02-21

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023