Open Access Open Access  Restricted Access Subscription or Fee Access

Improved differential transform method for solving Bratu’s problem

Changqing Yang, Jianhua Hou


In this paper, we propose a improved differential transform for solving the one-dimensional Bratu’s problem, which is widely applicable in fuel ignition of the combustion theory and heat transfer. The method is based on the application of differential transform to nonlinear Bratu’s problem. The differential transform of the nonlinear term is first presented for the determination of the infinite series solution. Numerical examples are presented to verify the efficiency and accuracy of the proposed algorithm. The results reveal that the method is accurate and easy to implement.


Differential transform method, Bratu’s problem, Boundary value problem, Initial value problem, Pad´e approximants.

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.