Approximate solutions of linear and non-linear diffusion equations by using Daftardar-Gejji-Jafari's method
by Murat Sari; Abdurrahim Gunay; Gurhan Gurarslan
International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO), Vol. 2, No. 4, 2011

Abstract: This study discovers the utility of the Daftardar-Gejji-Jafari's (DGJ) method to obtain approximate solution of the linear and non-linear diffusion equations. The method gives reliable results in the form of analytical approximation. Thus, the method is seen to be a very reliable alternative tool for finding analytical solutions of more complex equations. Use of small parameter or linearisation is not needed in the present approach as opposed to numerical methods. The aim of this work is to derive approximations to the solution of the diffusion equations. The method and its ability are illustrated in solving seven examples. The obtained solutions converge to the analytical solutions and are in very good agreement with the literature. The proposed method is realised to be more cost-effective in terms of computation. The DGJ method is seen to be a very good alternative to existing iterative techniques.

Online publication date: Thu, 26-Mar-2015

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO):
Login with your Inderscience username and password:

    Username:        Password:         

Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email