Solving of Lane-Emden Equation using Semi-Analytical Iterative method / Masitoh Mustafah, Nor Afif Muhammad Nor and Puteri Fatin Syazwani Mohamad
Lane-Emden is an equation that are commonly known in solving singular initial value problems that was formulated by using second order nonlinear differential equations. It is a type of equations that have significant applications in exploring mathematics, physics, astrophysics fields and technical w...
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my.uitm.ir.504312021-09-13T07:13:21Z https://ir.uitm.edu.my/id/eprint/50431/ Solving of Lane-Emden Equation using Semi-Analytical Iterative method / Masitoh Mustafah, Nor Afif Muhammad Nor and Puteri Fatin Syazwani Mohamad Mustafah, Masitoh Muhammad Nor, Nor Afif Mohamad, Puteri Fatin Syazwani Equations Mathematical statistics. Probabilities Data processing Analysis Analytical methods used in the solution of physical problems Lane-Emden is an equation that are commonly known in solving singular initial value problems that was formulated by using second order nonlinear differential equations. It is a type of equations that have significant applications in exploring mathematics, physics, astrophysics fields and technical world. Hence, most algorithms to solve Lane-Emden type of problems were usually be solved either in perturbation techniques or series solutions. Also, it was used as the core to verify new methods and able to attract many attention from many mathematicians and physicians to investigate more about Lane-Emden. Recently, many research about solving Lane-Emden equations have been done by using different type of methods but to solve using Semi-Analytical Iterative Method are still new and undiscover. In this research, Lane-Emden equation of index m and linear homogeneous Lane-Emden was solved by employed Semi-Analytical Iterative Method or also known as TAM. This method was popularized by Temimi and Ansari (TAM) for approximate solutions of differential algebraic eqauations that appear in many engineering and applied science applications. Aftermath, to show the result obtained was comparable, it was compared with the existing results from Adomian Decomposition Method (ADM) and Homotopy Perturbation Method (HPM). To prove the reliable and efficient of the result, the error between an existing result from ADM with the result of Lane-Emden equation of index m obtained from Maple software was computed. Error measurements of the approximate solutions were studied by using absolute error. 2018 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/50431/1/50431.pdf ID50431 Mustafah, Masitoh and Muhammad Nor, Nor Afif and Mohamad, Puteri Fatin Syazwani (2018) Solving of Lane-Emden Equation using Semi-Analytical Iterative method / Masitoh Mustafah, Nor Afif Muhammad Nor and Puteri Fatin Syazwani Mohamad. [Student Project] (Unpublished) |
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Equations Mathematical statistics. Probabilities Data processing Analysis Analytical methods used in the solution of physical problems Mustafah, Masitoh Muhammad Nor, Nor Afif Mohamad, Puteri Fatin Syazwani Solving of Lane-Emden Equation using Semi-Analytical Iterative method / Masitoh Mustafah, Nor Afif Muhammad Nor and Puteri Fatin Syazwani Mohamad |
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Lane-Emden is an equation that are commonly known in solving singular initial value problems that was formulated by using second order nonlinear differential equations. It is a type of equations that have significant applications in exploring mathematics, physics, astrophysics fields and technical world. Hence, most algorithms to solve Lane-Emden type of problems were usually be solved either in perturbation techniques or series solutions. Also, it was used as the core to verify new methods and able to attract many attention from many mathematicians and physicians to investigate more about Lane-Emden. Recently, many research about solving Lane-Emden equations have been done by using different type of methods but to solve using Semi-Analytical Iterative Method are still new and undiscover. In this research, Lane-Emden equation of index m and linear homogeneous Lane-Emden was solved by employed Semi-Analytical Iterative Method or also known as TAM. This method was popularized by Temimi and Ansari (TAM) for approximate solutions of differential algebraic eqauations that appear in many engineering and applied science applications. Aftermath, to show the result obtained was comparable, it was compared with the existing results from Adomian Decomposition Method (ADM) and Homotopy Perturbation Method (HPM). To prove the reliable and efficient of the result, the error between an existing result from ADM with the result of Lane-Emden equation of index m obtained from Maple software was computed. Error measurements of the approximate solutions were studied by using absolute error. |
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Student Project |
author |
Mustafah, Masitoh Muhammad Nor, Nor Afif Mohamad, Puteri Fatin Syazwani |
author_facet |
Mustafah, Masitoh Muhammad Nor, Nor Afif Mohamad, Puteri Fatin Syazwani |
author_sort |
Mustafah, Masitoh |
title |
Solving of Lane-Emden Equation using Semi-Analytical Iterative method / Masitoh Mustafah, Nor Afif Muhammad Nor and Puteri Fatin Syazwani Mohamad |
title_short |
Solving of Lane-Emden Equation using Semi-Analytical Iterative method / Masitoh Mustafah, Nor Afif Muhammad Nor and Puteri Fatin Syazwani Mohamad |
title_full |
Solving of Lane-Emden Equation using Semi-Analytical Iterative method / Masitoh Mustafah, Nor Afif Muhammad Nor and Puteri Fatin Syazwani Mohamad |
title_fullStr |
Solving of Lane-Emden Equation using Semi-Analytical Iterative method / Masitoh Mustafah, Nor Afif Muhammad Nor and Puteri Fatin Syazwani Mohamad |
title_full_unstemmed |
Solving of Lane-Emden Equation using Semi-Analytical Iterative method / Masitoh Mustafah, Nor Afif Muhammad Nor and Puteri Fatin Syazwani Mohamad |
title_sort |
solving of lane-emden equation using semi-analytical iterative method / masitoh mustafah, nor afif muhammad nor and puteri fatin syazwani mohamad |
publishDate |
2018 |
url |
https://ir.uitm.edu.my/id/eprint/50431/1/50431.pdf https://ir.uitm.edu.my/id/eprint/50431/ |
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1712288384263651328 |
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13.160551 |