A semi‐relativistic time‐fractional <scp>Vlasov–Maxwell</scp> code for numerical simulation based on circular polarization and Landau damping instability
DOI10.1002/num.22781OpenAlexW4210251807MaRDI QIDQ6067458
Publication date: 14 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22781
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with optics and electromagnetic theory (35Q60) Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Lasers, masers, optical bistability, nonlinear optics (78A60) Statistical mechanics of plasmas (82D10) Motion of charged particles (78A35) Vlasov equations (35Q83) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
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- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- A novel technique for the numerical simulation of hot collision-free plasma; Vlasov hybrid simulation
- Numerical simulations of chaotic and complex spatiotemporal patterns in fractional reaction-diffusion systems
- A finite element code for the simulation of one-dimensional Vlasov plasmas. I: Theory
- Cubic interpolated propagation scheme for solving the hyper-dimensional Vlasov-Poisson equation in phase space
- A review of definitions for fractional derivatives and integral
- An efficient analysis for \(N\)-soliton, lump and lump-kink solutions of time-fractional \((2+1)\)-Kadomtsev-Petviashvili equation
- Novel operational matrices-based method for solving fractional-order delay differential equations via shifted Gegenbauer polynomials
- Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration
- Multi-dimensional, fully-implicit, spectral method for the Vlasov-Maxwell equations with exact conservation laws in discrete form
- An application of the Gegenbauer wavelet method for the numerical solution of the fractional Bagley-Torvik equation
- A generalized groundwater flow equation using the concept of variable-order derivative
- Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
- Tuning of PID controllers based on Bode's ideal transfer function
- Numerical simulation of plasmas with periodic smoothing in phase space
- GEGENBAUER WAVELETS OPERATIONAL MATRIX METHOD FOR FRACTIONAL DIFFERENTIAL EQUATIONS
- Legendre wavelet Galerkin method for solving ordinary differential equations with non-analytic solution
- Multigrid Method for Maxwell's Equations
- Numerical methods for the Vlasov equation
- A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions
- GLOBAL SOLUTIONS FOR THE ONE-DIMENSIONAL VLASOV–MAXWELL SYSTEM FOR LASER-PLASMA INTERACTION
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