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Section B

The variational iteration method for solving systems of equations of Emden–Fowler type

Pages 3406-3415 | Received 08 Feb 2011, Accepted 08 May 2011, Published online: 12 Aug 2011

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Ahmed Entesar, Hiba Shuker Mahmood & Omar Saber Qasim. (2022) Solving nonlinear differential equations using a hybrid method between the variational iteration method and grey wolf optimization algorithm. Journal of Interdisciplinary Mathematics 25:2, pages 573-585.
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Articles from other publishers (21)

Vikash Kumar Sinha & Prashanth Maroju. (2024) Numerical solution of the coupled Lane–Emden–Fowler type equation using the variational iteration method and the Adomian polynomial. New Astronomy 109, pages 102195.
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Ashish Kumar, Manoj Kumar & Pranay Goswami. (2024) Numerical solution of coupled system of Emden-Fowler equations using artificial neural network technique. An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 14:1, pages 62-73.
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Vikash Kumar Sinha & Prashanth Maroju. (2024) Numerical algorithm for solving real-life application problems of Lane–Emden type equation. Journal of Computational Science 75, pages 102185.
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J. Mala, G. Suganya, M. Mallikarjuna & R. Senthamarai. (2023) A New Approximate Analytical Expression of Non-Isothermal Diffusion Model. WSEAS TRANSACTIONS ON HEAT AND MASS TRANSFER 18, pages 279-285.
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Mohammad Izadi & Dumitru Baleanu. (2023) An effective QLM-based Legendre matrix algorithm to solve the coupled system of fractional-order Lane-Emden equations. Applied Numerical Mathematics.
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Aishah A. Alsulami, Mariam AL-Mazmumy, Huda O. Bakodah & Nawal Alzaid. (2022) A Method for the Solution of Coupled System of Emden–Fowler–Type Equations. Symmetry 14:5, pages 843.
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A.M.S. Mahdy. (2022) A numerical method for solving the nonlinear equations of Emden-Fowler models. Journal of Ocean Engineering and Science.
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J. Saranya, L. Rajendran & K. Bhuvaneswari. Approximate analytical solutions of non-linear differential equations in enzyme inactivation kinetics using variational iteration method. Approximate analytical solutions of non-linear differential equations in enzyme inactivation kinetics using variational iteration method.
Chokchai Viriyapong & Nongluk Viriyapong. (2021) Modified Sumudu Decomposition Method for Solving Lane-Emden-Fowler Type Systems. WSEAS TRANSACTIONS ON MATHEMATICS 20, pages 446-454.
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Randhir Singh, Gagandeep Singh & Mehakpreet Singh. (2021) Numerical Algorithm for Solution of the System of Emden–Fowler Type Equations. International Journal of Applied and Computational Mathematics 7:4.
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Zulqurnain Sabir, Mehmet Giyas Sakar, Manshuk Yeskindirova & Onur Saldir. (2020) Numerical investigations to design a novel model based on the fifth order system of Emden–Fowler equations. Theoretical and Applied Mechanics Letters 10:5, pages 333-342.
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Zulqurnain Sabir, Fazli Amin, Daniel Pohl & Juan L.G. Guirao. (2020) Intelligence computing approach for solving second order system of Emden–Fowler model. Journal of Intelligent & Fuzzy Systems 38:6, pages 7391-7406.
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Randhir Singh. (2020) Solving Coupled Lane-Emden Equations by Green’s Function and Decomposition Technique. International Journal of Applied and Computational Mathematics 6:3.
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Sumit Gupta, Devendra Kumar, Jagdev Singh & Sushila. 2020. 4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019). 4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019) 76 98 .
Randhir Singh. (2019) Analytic solution of singular Emden-Fowler-type equations by Green’s function and homotopy analysis method. The European Physical Journal Plus 134:11.
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Randhir Singh, Julee Shahni, Himanshu Garg & Apoorv Garg. (2019) Haar wavelet collocation approach for Lane-Emden equations arising in mathematical physics and astrophysics. The European Physical Journal Plus 134:11.
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Lie-jun Xie, Cai-lian Zhou & Song Xu. (2019) Solving the Systems of Equations of Lane-Emden Type by Differential Transform Method Coupled with Adomian Polynomials. Mathematics 7:4, pages 377.
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Aisha Abdullah Alderremy, Tarig M. Elzaki & Mourad Chamekh. (2019) Modified Adomian Decomposition Method to Solve Generalized Emden–Fowler Systems for Singular IVP. Mathematical Problems in Engineering 2019, pages 1-6.
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Randhir Singh. (2018) Analytical approach for computation of exact and analytic approximate solutions to the system of Lane-Emden-Fowler type equations arising in astrophysics. The European Physical Journal Plus 133:8.
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J. Biazar & K. Hosseini. (2017) An Effective Modification of Adomian Decomposition Method for Solving Emden–Fowler Type Systems. National Academy Science Letters 40:4, pages 285-290.
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K. Boubaker & Robert A. Van Gorder. (2012) Application of the BPES to Lane–Emden equations governing polytropic and isothermal gas spheres. New Astronomy 17:6, pages 565-569.
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