Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers' equation

DOI10.1016/J.AMC.2021.126824OpenAlexW4200149871MaRDI QIDQ2073093

Qifeng Zhang, Cuicui Sun, Hai-Wei Sun, Zhi-Wei Fang

Publication date: 27 January 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126824

zbMATH Keywords

compact difference schemepointwise error estimatereduction order methodfractional Burgers' equation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Miscellaneous topics in partial differential equations (35Rxx)

Related Items (8)

A new linearized fourth-order conservative compact difference scheme for the SRLW equations ⋮ A robust higher-order numerical technique with graded and harmonic meshes for the time-fractional diffusion-advection-reaction equation ⋮ Unconditional superconvergence analysis of an energy conservation scheme with Galerkin FEM for nonlinear Benjamin-Bona-Mahony equation ⋮ Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers' equations ⋮ Pointwise error estimates of compact difference scheme for mixed-type time-fractional Burgers' equation ⋮ Pointwise error estimate of the compact difference methods for the fourth‐order parabolic equations with the third Neumann boundary conditions ⋮ Double reduction order method based conservative compact schemes for the Rosenau equation ⋮ A new numerical formulation for the generalized time-fractional Benjamin Bona Mohany Burgers' equation

Cites Work

• Unconditional convergence in maximum-norm of a second-order linearized scheme for a time-fractional Burgers-type equation
• The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation
• Fourier spectral approximation for time fractional Burgers equation with nonsmooth solutions
• A linear finite difference scheme for generalized time fractional Burgers equation
• Exact solutions and numerical study of time fractional Burgers' equations
• L1/LDG method for the generalized time-fractional Burgers equation
• Finite difference discretization of the cubic Schrödinger equation
• Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
• Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
• Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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