Exact discretization of fractional Laplacian

DOI10.1016/j.camwa.2017.01.012zbMath1371.65112OpenAlexW2586253901MaRDI QIDQ2398990

Vasily E. Tarasov

Publication date: 21 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.01.012

zbMATH Keywords

fractional calculusfinite differencefractional derivativefractional Laplacianexact discretizationlattice operatorfractional-order partial difference equations

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11) Partial difference equations (39A14) Numerical methods for difference equations (65Q10)

Related Items (7)

The semidiscrete damped wave equation with a fractional Laplacian ⋮ Fractional derivative regularization in QFT ⋮ On a connection between the \(N\)-dimensional fractional Laplacian and 1-D operators on lattices ⋮ Well-posedness for fractional Cauchy problems involving discrete convolution operators ⋮ Lattice Dynamical Systems Associated with a Fractional Laplacian ⋮ On fractional and fractal formulations of gradient linear and nonlinear elasticity ⋮ Nonlocal quantum system with fractal distribution of states

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