A second-order scheme for a time-fractional diffusion equation

DOI10.1016/J.AML.2018.10.016zbMath1414.65006OpenAlexW2899363375MaRDI QIDQ1726585

Anbo Le, Jian Huang, Zhongdi Cen, Aimin Xu

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.10.016

zbMATH Keywords

singularityCaputo derivativegraded meshfractional differential equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical quadrature and cubature formulas (65D32) Fractional partial differential equations (35R11)

Related Items (5)

An adaptive moving mesh method for a time-fractional Black-Scholes equation ⋮ Iterative method for solving one-dimensional fractional mathematical physics model via quarter-sweep and PAOR ⋮ Collocation method for time fractional diffusion equation based on the Chebyshev polynomials of second kind ⋮ A robust higher-order finite difference technique for a time-fractional singularly perturbed problem ⋮ Finite Difference Methods for Fractional Differential Equations on Non-Uniform Meshes

Cites Work

• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• A fitted scheme for a Caputo initial-boundary value problem
• Preprocessing schemes for fractional-derivative problems to improve their convergence rates
• On the discrete analogues of some generalizations of Gronwall's inequality
• A Stability Result for Sectorial Operators in Banach Bpaces
• Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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