Abstract
Emden-Fowler equations are frequently encountered in physical and natural sciences. However, the Emden-Fowler solution is complicated due to singularity behaviour at the origin. Emden-Fowler equations are solved in this paper using a semi analytical iterative method (SAIM) that combines
analytical and numerical computation. This method provides an exact solution to the Emden-Fowler equations, and transformation approaches are implemented to overcome the difficulties associated with singularity behaviour. As a result, the exact solutions of Emden-Fowler equations are successfully obtained using the SAIM. This shows that the SAIM is very effective and reliable, and that no restrictive assumptions for nonlinear terms are required. Furthermore, comparisons with the exact solutions and the solutions obtained by the variational iterative method (VIM) show the efficiency of SAIM in solving equations with singularity.
Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Creators: | Creators Email / ID Num. Selamat, Mat Salim matsalimselamat@uitm.edu.my Tokachil, Mohd Najir najir2992@uitm.edu.my Burhanddin, Noor Aqila aqilaaqilaburhan@gmail.com Murad, Ika Suzieana ieykasuzie@gmail.com Razali, Nur Farhana hfar279@gmail.com |
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Divisions: | Universiti Teknologi MARA, Kedah > Sg Petani Campus |
| Journal or Publication Title: | International Conference on Computing, Mathematics and Statistics (iCMS 2021) |
| Event Title: | e-Proceedings of the 5th International Conference on Computing, Mathematics and Statistics (iCMS 2021) |
| Event Dates: | 4-5 August 2021 |
| Page Range: | pp. 28-35 |
| Keywords: | Initial value problems, Emden-Fowler equation, semi analytical iterative method, singularity behaviour |
| Date: | 2021 |
| URI: | https://ir.uitm.edu.my/id/eprint/56111 |
- Edit Item
![[thumbnail of 56111.pdf]](https://ir.uitm.edu.my/style/images/fileicons/text.png)
