Convergence of partial differential equation using fuzzy linear parabolic derivatives
by Palanisamy Shanthi Devi; Ramasamy Viswanathan
International Journal of Enterprise Network Management (IJENM), Vol. 10, No. 3/4, 2019

Abstract: Discovering solution for partial differential equations (PDEs) is considered to be difficult task. Exact solution is said to be identified only in certain specified cases. In this paper, convergence of partial differential equation using fuzzy linear parabolic (PDE-FLP) method on a finite domain is designed. The method is based on PDE where coefficients are obtained as fuzzy numbers and solved by linear parabolic derivatives. Firstly, PDE form and fuzzy representation of two independent variables are derived. Secondly, fuzzy linear parabolic (FLP) derivative is provided for numerical convergence. FLP derivatives are employed to describe time dependent aspects. Parabolic derivatives are also due to similar coefficient condition for the analytic solution. Finally, numerical results are given, which demonstrates the effectiveness and convergence of PDE-FLP method. A detailed comparison between approximate solutions obtained is discussed. Also, figurative representation to compare between approximate solutions is also presented.

Online publication date: Mon, 21-Oct-2019

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 Enterprise Network Management (IJENM):
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 subs@inderscience.com