Isogeometric collocation method for the fractional Laplacian in the 2D bounded domain
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Publication:2180461
DOI10.1016/j.cma.2020.112936zbMath1442.65411arXiv1812.08323OpenAlexW3010745566MaRDI QIDQ2180461
Publication date: 14 May 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.08323
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional partial differential equations (35R11)
Related Items (11)
Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm ⋮ Isogeometric collocation method for the fractional Laplacian in the 2D bounded domain ⋮ Finite element discretizations for variable-order fractional diffusion problems ⋮ Neural Network Method for Integral Fractional Laplace Equations ⋮ Application of neural networks in nonlinear inverse problems of geophysics ⋮ Learning viscoelasticity models from indirect data using deep neural networks ⋮ Superconvergent isogeometric collocation method with Greville points ⋮ Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian ⋮ Numerical solutions for asymmetric Lévy flights ⋮ Space-fractional diffusion with variable order and diffusivity: discretization and direct solution strategies ⋮ Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems
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