Open Access Open Access  Restricted Access Subscription or Fee Access

Adomian Decomposition Sumudu Transform Method for Solving Fully Nonlinear Fractional Order Power-Law Fin-Type Problems

Trushit Patel, Ramakanta Meher


In this paper, the temperature distribution of a straight rectangular fin with power-law temperature dependent surface heat flux is discussed and the variation of temperature for different levels of nonlinearities has been analyzed. An advanced analytical method i.e. Adomian decomposition sumudu transform method is used to study the temperature distribution for all cases considered here. The results obtained through this method has been compared with other available results obtained through Homotopy perturbation method, Variational iteration method as well as exact solution for integer value of α and shown that it is a powerful solution technique in the analysis of fractional order power-law fin-type problems.


Adomian decomposition sumudu transform method; Fins; Fractional Calculus; Nonlinear differential equation.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.