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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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) |
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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.] |
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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. |
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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 |
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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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1751539852343508992 |
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13.211869 |