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Maximum entropy method for solving the collisional Vlasov equation

Author

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  • El-Wakil, S.A.
  • Elhanbaly, A.
  • Abdou, M.A.

Abstract

By means of the maximum entropy method the reduced Vlasov–Fokker–Planck equation has been solved explicitly. The behaviour of the approximate maximum entropy distribution functions are shown graphically, and compared with that obtained by using Lie group method. The results reported in this article provide further evidence of the usefulness of both maximum entropy and Lie group methods for obtaining time dependent solution in compact form.

Suggested Citation

  • El-Wakil, S.A. & Elhanbaly, A. & Abdou, M.A., 2003. "Maximum entropy method for solving the collisional Vlasov equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 213-228.
    • Handle: RePEc:eee:phsmap:v:323:y:2003:i:c:p:213-228
    DOI: 10.1016/S0378-4371(03)00020-7
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    Cited by:

    1. Secrest, J.A. & Conroy, J.M. & Miller, H.G., 2020. "A unified view of transport equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).

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