Study of the cosmic rays transport problems using second order parabolic type partial differential equation

DOI10.1016/J.APM.2013.11.041zbMath1449.85013OpenAlexW2000873906WikidataQ115360473 ScholiaQ115360473MaRDI QIDQ1630794

Michael V. Alania, Agnieszka Gil

Publication date: 10 December 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.11.041

zbMATH Keywords

finite difference methodtransport equationparabolic-type PDE with four variableswavelets and harmonic analysis

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) History of mathematics in the 20th century (01A60) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Transport processes in time-dependent statistical mechanics (82C70) Motion of charged particles (78A35) Radiative transfer in astronomy and astrophysics (85A25) History of astronomy and astrophysics (85-03)

Cites Work

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• A new mixed finite element method based on the Crank-Nicolson scheme for the parabolic problems
• Application of the Adomian decomposition method for the Fokker-Planck equation
• Wavelet-Galerkin method for the Kolmogorov equation

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