A semi analytical iterative method for solving the emden-fowler equations / Mat Salim Selamat ... [et al.]

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...

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Main Authors: Selamat, Mat Salim, Tokachil, Mohd Najir, Burhanddin, Noor Aqila, Murad, Ika Suzieana, Razali, Nur Farhana
Format: Conference or Workshop Item
Language:English
Published: 2021
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Online Access:https://ir.uitm.edu.my/id/eprint/56111/1/56111.pdf
https://ir.uitm.edu.my/id/eprint/56111/
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spelling my.uitm.ir.561112022-12-01T06:09:02Z https://ir.uitm.edu.my/id/eprint/56111/ A semi analytical iterative method for solving the emden-fowler equations / Mat Salim Selamat ... [et al.] Selamat, Mat Salim Tokachil, Mohd Najir Burhanddin, Noor Aqila Murad, Ika Suzieana Razali, Nur Farhana QA Mathematics QC Physics 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. 2021 Conference or Workshop Item PeerReviewed text en https://ir.uitm.edu.my/id/eprint/56111/1/56111.pdf A semi analytical iterative method for solving the emden-fowler equations / Mat Salim Selamat ... [et al.]. (2021) In: e-Proceedings of the 5th International Conference on Computing, Mathematics and Statistics (iCMS 2021), 4-5 August 2021. (Submitted)
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic QA Mathematics
QC Physics
spellingShingle QA Mathematics
QC Physics
Selamat, Mat Salim
Tokachil, Mohd Najir
Burhanddin, Noor Aqila
Murad, Ika Suzieana
Razali, Nur Farhana
A semi analytical iterative method for solving the emden-fowler equations / Mat Salim Selamat ... [et al.]
description 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.
format Conference or Workshop Item
author Selamat, Mat Salim
Tokachil, Mohd Najir
Burhanddin, Noor Aqila
Murad, Ika Suzieana
Razali, Nur Farhana
author_facet Selamat, Mat Salim
Tokachil, Mohd Najir
Burhanddin, Noor Aqila
Murad, Ika Suzieana
Razali, Nur Farhana
author_sort Selamat, Mat Salim
title A semi analytical iterative method for solving the emden-fowler equations / Mat Salim Selamat ... [et al.]
title_short A semi analytical iterative method for solving the emden-fowler equations / Mat Salim Selamat ... [et al.]
title_full A semi analytical iterative method for solving the emden-fowler equations / Mat Salim Selamat ... [et al.]
title_fullStr A semi analytical iterative method for solving the emden-fowler equations / Mat Salim Selamat ... [et al.]
title_full_unstemmed A semi analytical iterative method for solving the emden-fowler equations / Mat Salim Selamat ... [et al.]
title_sort semi analytical iterative method for solving the emden-fowler equations / mat salim selamat ... [et al.]
publishDate 2021
url https://ir.uitm.edu.my/id/eprint/56111/1/56111.pdf
https://ir.uitm.edu.my/id/eprint/56111/
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score 13.211869