Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers

DOI10.1007/s11075-020-00972-zzbMath1468.65159OpenAlexW3048289368MaRDI QIDQ2021777

Yong Zhang, Emmanuel Lorin, Xavier Antoine

Publication date: 27 April 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-020-00972-z

zbMATH Keywords

finite differencefractional partial differential equationsperfectly matched layersFourier pseudospectral approximationtime splitting scheme

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (9)

Artificial boundary conditions for the semi-discretized one-dimensional nonlocal Schrödinger equation ⋮ Accurate absorbing boundary conditions for two-dimensional peridynamics ⋮ Perfectly matched layers for nonlocal Helmholtz equations. II: Multi-dimensional cases ⋮ Accurate Absorbing Boundary Conditions for the Two-Dimensional Nonlocal Schrödinger Equations ⋮ Construction and analysis of discretization schemes for one-dimensional nonlocal Schrödinger equations with exact absorbing boundary conditions ⋮ A second-order absorbing boundary condition for two-dimensional peridynamics ⋮ Variable-order fractional Laplacian and its accurate and efficient computations with meshfree methods ⋮ A Schwarz waveform relaxation method for time-dependent space fractional Schrödinger/heat equations ⋮ Generalized fractional algebraic linear system solvers

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