Numerical Solution of Bratu-Type Initial Value Problems by Aboodh Adomian Decomposition Method

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Cankaya University Journal of Science and Engineering
Volume:20 Issue:2
Numerical Solution of Bratu-Type Initial Value Problems by Aboodh Adomian Decomposition Method

Numerical Solution of Bratu-Type Initial Value Problems by Aboodh Adomian Decomposition Method

Authors : Olutunde Odetunde, Abiodun Ajani, Abasss Taiwo, Sefiu Onitilo

Pages : 64-75

View : 77 | Download : 286

Publication Date : 2023-11-01

Article Type : Research Paper

Abstract :This study presents an efficient method for solving Bratu equations with an initial value problem. The procedure is based on the use of Aboodh transform and Adomian decomposition method. Adomian polynomials for the index n replace the nonlinear term. The dependent variable components are also replaced in the recurrence relation by their corresponding Aboodh transform components of the same index. Therefore, the nonlinear problem is solved directly without any linearization or discretization. Examples are presented to show the effectiveness and validity of this method. The derived results are compared with the existing exact solution.
Keywords : Bratu equation, Aboodh transform, Adomian decomposition method

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.