Efficient Hermite Spectral Methods for Space Tempered Fractional Diffusion Equations
DOI10.4208/EAJAM.070420.110720zbMath1468.65162OpenAlexW3108910981MaRDI QIDQ4986573
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Publication date: 27 April 2021
Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/eajam.070420.110720
spectral methodHermite functionsspectral collocation methodtempered fractional diffusion equationproblem on the whole line
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Interpolation in approximation theory (41A05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Numerical integration (65D30) Finite difference and finite volume methods for ordinary differential equations (65L12) Fractional partial differential equations (35R11) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Cites Work
- A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation
- Tempered stable Lévy motion and transient super-diffusion
- Generalized wave equation in nonlocal elasticity
- Finite element method for a symmetric tempered fractional diffusion equation
- Fractional reproduction-dispersal equations and heavy tail dispersal kernels
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