Finite difference approximations for space–time fractional partial differential equation

DOI10.1515/JNUM.2009.016zbMath1186.65119OpenAlexW2126373329WikidataQ115236052 ScholiaQ115236052MaRDI QIDQ3401152

Yang Zhang

Publication date: 29 January 2010

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnum.2009.016

zbMATH Keywords

stabilityconvergenceerror estimatesconvection-diffusion equationnumerical examplesdifference methodfractional order derivativespace-time fractional advection-diffusion equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

Related Items (3)

Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation ⋮ Measurable functions approach for approximate solutions of Linear space-time-fractional diffusion problems ⋮ A Fast Second-Order Implicit Difference Method for Time-Space Fractional Advection-Diffusion Equation

Cites Work

• An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations

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