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The well-known Emden-Fowler equation is widely used to model many problems arising in thermal science, physics, and astrophysics. Although there are some analytical solutions available, the high requirement for mathematical knowledge has hindered researchers from direct applications. This paper suggests a straightforward method with a simple solution process and highly accurate results. Two examples are given to verify the accuracy and reliability of the proposed method.
PAPER REVISED: 2021-10-02
PAPER ACCEPTED: 2021-10-02
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THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 3, PAGES [2693 - 2697]
  1. He, J. H., When Mathematics Meets Thermal Science, the Simpler is the Better, Thermal Science, 25 (2021), 3, pp. 2039-2042
  2. He, C. H., et al., Passive Atmospheric Water Harvesting Utilizing an Ancient Chinese Ink Slab and Its Possible Applications in Modern Architecture, Facta Universitatis: Mechanical Engineering, 19 (2021), 2, pp. 229-239
  3. Wu, Y., Liu, Y. P., Residual Calculation in He's Frequency-Amplitude Formulation, Journal of Low Frequency Noise Vibration and Active Control, 40 (2021), 2, pp. 1040-1047
  4. Feng, G. Q., He's Frequency Formula to Fractal Undamped Duffing Equation, Journal of Low Frequen-cy Noise Vibration and Active Control, 40 (2021), 4, pp. 1671-1676
  5. He, J.‐H., et al., Homotopy Perturbation Method for the Fractal Toda Oscillator, Fractal Fract., 5 (2021), 3, 5030093
  6. He, J.-H., et al., Periodic Property and Instability of a Rotating Pendulum System, Axioms, 10 (2021), 3, 10030191
  7. He, C. H., et al., Hybrid Rayleigh -Van der Pol-Duffing Oscillator (HRVD): Stability Analysis and Con-troller, Journal of Low Frequency Noise, Vibration & Active Control, 41 (2021), 1, 14613484211026407
  8. He, J. H., et al., Non-linear Instability of Two Streaming-Superposed Magnetic Reiner-Rivlin Fluids by He-Laplace Method, Journal of Electroanalytical Chemistry, 895 (2021), Aug., 115388
  9. He, C. H., et al., A Novel Bond Stress-Slip Model for 3-D Printed Concretes, Discrete and Continuous Dynamical Systems Series S, 15 (2021), 7, 1669
  10. Wang, K. J., On New Abundant Exact Traveling Wave Solutions to the Local Fractional Gardner Equa-tion Defined on Cantor Sets, Mathematical Methods in the Applied Sciences, 45 (2021), 4, pp. 1904-1915
  11. Wang, K. J., Generalized Variational Principle and Periodic Wave Solution to the Modified Equal width-Burgers Equation in Non-linear Dispersion Media, Physics Letters A, 419 (2021), Dec., 127723
  12. Wang, K. J., Zhang, P. L., Investigation of the Periodic Solution of the Time-Space Fractional Sasa-Satsuma Equation Arising in the Monomode Optical Fibers, EPL, 137 (2021), 6, 62001
  13. He, J. H., et al., Variational Approach to Fractal Solitary Waves, Fractals, 29 (2021), 7, 2150199
  14. He, J. H., et al., On a Strong Minimum Condition of a Fractal Variational Principle, Applied Mathemat-ics Letters, 119 (2021), Sept., 107199
  15. Wang, K. J, Si, J., Investigation into the Explicit Solutions of the Integrable (2+1)-Dimensional Maccari System via the Variational Approach, Axioms, 11 (2022), 5, 234
  16. Wang K. J, et al., A Fractal Modification of the Sharma-Tasso-Olver Equation and Its Fractal General-ized Variational Principle, Fractals, 30 (2022), 6, 2250121
  17. Wang K. J, Investigation to the Local Fractional Fokas System on Cantor Set by a Novel Technology, Fractals, 30 (2022), 6, 2250112
  18. Wang, K. J, Abundant Exact Traveling Wave Solutions to the Local Fractional (3+1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation, Fractals, 30 (2022), 3, 2250064
  19. Wang, K. J, et al., Application of the Extended F-Expansion Method for Solving the Fractional Gardner Equation with Conformable Fractional Derivative, Fractals, On-line first, S0218348X22501390, 2022
  20. Wang, K. J, Exact Traveling Wave Solutions to the Local Fractional (3+1)-Dimensional Jimbo-Miwa Equation on Cantor Sets, Fractals, On-line first,, 2022
  21. Wang, K. J, Periodic Solution of the Time-Space Fractional Complex Nonlinear Fokas-Lenells Equation by an Ancient Chinese Algorithm, Optik, 243 (2021), ID 167461
  22. Khan, J. A., et al., Numerical Treatment of Non-linear Emden-Fowler Equation Using Stochastic Tech-nique, Annals of Mathematics and Artificial Intelligence, 63 (2011), 2, pp. 185-207
  23. Gupta, S., et al., An Efficient Computational Technique for Non-Linear Emden-Fowler Equations Aris-ing in Astrophysics and Space Science, Proceedings, International Conference on Computational Math-ematics and Engineering Sciences, Springer, Antalya, Turkey, 2019, pp. 76-98
  24. Wazwaz, A. M., Adomian Decomposition Method for a Reliable Treatment of the Emden-Fowler Equa-tion, Appl. Math. Comput., 161 (2005), 2, pp. 543-560
  25. Chen, R. X., et al., Series Solution of the Autocatalytic Hydrolysis of Cellulose, Cellulose, 22 (2015), 5, pp. 3099-3104
  26. He, J. H., Taylor Series Solution for a Third Order Boundary Value Problem Arising in Architectural Engineering, Ain Shams Engineering Journal, 11 (2020), 4, pp. 1411-1414

© 2023 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence