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Non-linear Fokker-Planck equation solved with generalized finite differences in 2D and 3D

Author

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  • Ureña, Francisco
  • Gavete, Luis
  • Gómez, Ángel García
  • Benito, Juan José
  • Vargas, Antonio Manuel

Abstract

The generalized finite difference method (GFDM) has been proved to be a good meshless method to solve several both linear and nonlinear partial differential equations (PDEs): wave propagation, advection-diffusion, plates, beams, etc.

Suggested Citation

  • Ureña, Francisco & Gavete, Luis & Gómez, Ángel García & Benito, Juan José & Vargas, Antonio Manuel, 2020. "Non-linear Fokker-Planck equation solved with generalized finite differences in 2D and 3D," Applied Mathematics and Computation, Elsevier, vol. 368(C).
    • Handle: RePEc:eee:apmaco:v:368:y:2020:i:c:s0096300319307933
    DOI: 10.1016/j.amc.2019.124801
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    References listed on IDEAS

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    1. Sepehrian, Behnam & Radpoor, Marzieh Karimi, 2015. "Numerical solution of non-linear Fokker–Planck equation using finite differences method and the cubic spline functions," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 187-190.
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    Cited by:

    1. Sun, Linlin & Fu, Zhuojia & Chen, Zhikang, 2023. "A localized collocation solver based on fundamental solutions for 3D time harmonic elastic wave propagation analysis," Applied Mathematics and Computation, Elsevier, vol. 439(C).

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