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The Langmuir kinetic equation is analyzed by the variational iteration method, its solution property is revealed analytically. The effects of desorption time and adsorption coefficient on the solution properties are also discussed, and a fractal modification of Langmuir kinetic equation is suggested.
PAPER REVISED: 2020-06-20
PAPER ACCEPTED: 2020-06-20
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THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 2, PAGES [1351 - 1354]
  1. Alexe-Ionescu AL, et al., Generalized Langmuir Kinetic Equation for Ions Adsorption Model Applied to Electrical Double Layer Capacitor, Electrochimica Acta, 323 (2019), Nov., 134700
  2. Mei, Y., et al., Phosphorus Adsorption/Desorption Kinetics of Bioretention, Thermal Science, 24 (2020), 4, pp. 2401-2410
  3. Huang, X.-L., et al., A Release Model Considering Chemical Loss from a Double-Layer Material Into Food, Thermal Science, 24 (2020), 4, pp. 2419-2426
  4. Mei, Y., et al., Isothermal Adsorption Characteristics of Bioretention Media for Fecal Escherichia Coli, Thermal Science, 24 (2020), 4, pp. 2427-2436
  5. Xia, T. Q., et al., Roles of Adsorption Potential and Surface Free Energy on Pure CH4 and CO2 Adsorption under Different Temperatures, Thermal Science, 23 (2019), S3, pp. S747-S755
  6. Yang, X. F., et al.. Adsorption Performance of Silver-Loaded Activated Carbon Fibers, Thermal Science, 22 (2018), 1A, pp. 11-16
  7. He, J. H., Variational Iteration Method - Some Recent Results and New Interpretations, Journal of Computational and Applied Mathematics, 207 (2007), 1, pp. 3-17
  8. He, J. H., Wu, X. H., Variational Iteration Method: New Development and Applications, Computers and Mathematics with Applications, 54 (2007), 7-8, pp. 881-894
  9. He, J. H., Latifizadeh, H., A General Numerical Algorithm for Non-Linear Differential Equations by the Variational Iteration Method, International Journal of Numerical Methods for Heat and Fluid-Flow, 30 (2020), 11, pp. 4797-4810
  10. Liu, H. Y., et al., A Variational Principle for the Photocatalytic NOx abatement, Thermal Science, 24 (2020), 4, pp. 2515-2518
  11. He, J. H., A Fractal Variational Theory for 1-D Compressible Flow in a Microgravity Space, Fractals, 28 (2020), 2, 2050024
  12. He, J. H., Variational Principle and Periodic Solution of the Kundu-Mukherjee-Naskar Equation, Results in Physics, 17 (2020), June, 103031
  13. Shen, Y., He, J. H., Variational Principle for a Generalized KdV Equation in a Fractal Space, Fractals, 28 (2020), 04, 2050069
  14. Yu, D. N., et al., Homotopy Perturbation Method with an Auxiliary Parameter for Non-Linear Oscillators, Journal of Low Frequency Noise Vibration and Active Control, 38 (2019), 3-4, pp. 1540-1554
  15. Ren, Z. F., et al., He's Multiple Scales Method for Non-Linear Vibrations, Journal of Low Frequency Noise Vibration and Active Control, 38 (2019), 3-4, pp. 1708-1712
  16. He, J. H., The Simpler, The Better: Analytical Methods for Non-Linear Oscillators and Fractional Oscillators, Journal Low. Freq. Noise. Vib. Act. Control, 38 (2019), 3-4, pp. 1252-1260
  17. Shen, Y., El-Dib, Y. O., A Periodic Solution of the Fractional Sine-Gordon Equation Arising in Architectural Engineering, Journal of Low Frequency Noise Vibration and Active Control, On-line first,
  18. Wang, Y., et al., A Fractal Derivative Model for Snow's Thermal Insulation Property, Thermal Science, 23 (2019), 4, pp. 2351-2354
  19. Liu, H. Y., et al., A Fractal Rate Model for Adsorption Kinetics at Solid/Solution Interface, Thermal Science, 23 (2019), 4, pp. 2477-2480
  20. He, J. H., Ji, F. Y., Two-Scale Mathematics and Fractional Calculus for Thermodynamics, Thermal Science, 23 (2019), 4, pp. 2131-2133
  21. He, J. H., Fractal Calculus and Its Geometrical Explanation, Results Phys., 10 (2018), Sept., pp. 272-276
  22. Wang, Q. L., et al., Fractal Calculus and Its Application Explanation of Biomechanism of Polar Bear Hairs, Fractals, 27 (2019), 6, 1992001
  23. Fan, J., et al., Fractal Calculus for Analysis of Wool Fiber: Mathematical Insight of Its Biomechanism, Journal Eng. Fiber. Fabr., On-line first,
  24. Wang, Y., Deng, Q. G., Fractal Derivative Model for Tsunami Travelling, Fractals, 27 (2019), 1, 1950017
  25. Wang, Y., et al., A Variational Formulation for Anisotropic Wave Traveling in a Porous Medium, Fractals, 27 (2019), 4, 19500476
  26. Wang, K. L., He, C. H., A Remark on Wang's Fractal Variational Principle, Fractals, 27 (2019), 08, 1950134
  27. Ain, Q. T., He, J. H., On Two-Scale Dimension and Its Applications, Thermal Science, 23 (2019), 3B, pp. 1707-1712
  28. Li, X. J., et al., A Fractal Two-Phase Flow Model for the Fiber Motion in a Polymer Filling Process, Fractals, 28 (2020), 05, 2050093

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