Numerical Resolution of Fokker-Planck Type Kinetic Equations

• Autores: Nizomjon Jumaniyazov
• Directores de la Tesis: Oscar López Pouso (dir. tes.)
• Lectura: En la Universidade de Santiago de Compostela ( España ) en 2017
• Idioma: inglés
• Tribunal Calificador de la Tesis: Francisco Javier de Frutos Baraja (presid.), José Luis Ferrín González (secret.), Virginia Selgas Buznego (voc.)
• Programa de doctorado: Programa de Doctorado en Métodos Matemáticos y Simulación Numérica en Ingeniería y Ciencias Aplicadas por la Universidad de A Coruña; la Universidad de Santiago de Compostela y la Universidad de Vigo
• Materias:
  • Matemáticas
    • Ciencia de los ordenadores
      • Simulación
• Enlaces
  • Tesis en acceso abierto en: MINERVA
• Resumen
  • español

    La tesis se centra en la resolucion numerica , mediante diferencias finitas y tecnicas de Fourier de dos ecuaciones de tipo Fokker-Planck.

  • English

    The Fokker-Planck equation is a partial differential equation that describes the time evolution of the probability density function of the velocity of a particle under the influence of drag forces and random forces, as in Brownian motion. The equation can be generalized to other observables as well. The Fokker-Planck equation is often used to approximate the description of particle transport processes with highly forward-peaked scattering, then the Fokker-Planck equation is an asymptotic approximation to the linear Boltzmann equation. In this thesis it is considered a new finite difference method and an iterative method to solve the Fokker-Planck equation when the angular flux depends on spatial, polar and azimuthal variables. Fourier technique is applied to split the problem into a set of azimuthal angle-independent problem.