Numerical approximations for the tempered fractional Laplacian: error analysis and applications

DOI10.1007/s10915-019-01029-7zbMath1466.65165arXiv1808.02615OpenAlexW2968014749MaRDI QIDQ2333710

Yanzhi Zhang, Siwei Duo

Publication date: 13 November 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.02615

zbMATH Keywords

error estimatesfinite difference methodsfractional Allen-Cahn equationfractional Gray-Scott equationstempered integral fractional Laplacian

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)

Related Items (12)

Highly accurate operator factorization methods for the integral fractional Laplacian and its generalization ⋮ Radial symmetry of a relativistic Schrödinger tempered fractional p-Laplacian model with logarithmic nonlinearity ⋮ A finite difference scheme for the two-dimensional Gray-Scott equation with fractional Laplacian ⋮ Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives ⋮ Nonexistence of solutions to fractional parabolic problem with general nonlinearities ⋮ Nonexistence of solutions for tempered fractional parabolic equations ⋮ An anisotropic tempered fractional \(p\)-Laplacian model involving logarithmic nonlinearity ⋮ Variable-order fractional Laplacian and its accurate and efficient computations with meshfree methods ⋮ Radial symmetry for logarithmic Choquard equation involving a generalized tempered fractional \(p\)-Laplacian ⋮ Asymptotic stability of compact and linear \(\theta \)-methods for space fractional delay generalized diffusion equation ⋮ A Unified Meshfree Pseudospectral Method for Solving Both Classical and Fractional PDEs ⋮ Asymptotic radial solution of parabolic tempered fractional Laplacian problem

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