Stability and convergence of the Crank-Nicolson scheme for a class of variable-coefficient tempered fractional diffusion equations

DOI10.1186/s13662-017-1150-1zbMath1422.65180OpenAlexW2605592089WikidataQ59526044 ScholiaQ59526044MaRDI QIDQ1628671

Wei Qu, Yong Liang

Publication date: 4 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1150-1

zbMATH Keywords

convergenceCrank-Nicolson schemevariable coefficientsunconditionally stabletempered fractional diffusion equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for discrete and fast Fourier transforms (65T50) Fractional partial differential equations (35R11)

Related Items (7)

Liouville-type theorem for Kirchhoff equations involving Grushin operators ⋮ Second-order numerical methods for the tempered fractional diffusion equations ⋮ Stable weak solutions to weighted Kirchhoff equations of Lane-Emden type ⋮ A matrix splitting preconditioning method for solving the discretized tempered fractional diffusion equations ⋮ The implicit midpoint method for Riesz tempered fractional diffusion equation with a nonlinear source term ⋮ On stable entire solutions of sub-elliptic system involving advection terms with negative exponents and weights ⋮ Numerical solution of nonlinear Schrödinger equation with Neumann boundary conditions using quintic B-spline Galerkin method

Uses Software

• TFPDE

Cites Work

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