首页|Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers' equation
Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers' equation
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NSTL
Elsevier
A novel implicit high-order compact difference scheme is established for the time-fractional Burgers' equation based on a newly developed nonlinear compact operator and the reduction order technique under the uniform mesh and graded mesh. Uniqueness, boundedness, convergence in the pointwise sense and stability in L-2-norm of the discrete solutions are proved by the Browder fixed point theorem and energy argument. Numerical examples with the smooth solution and nonsmooth solution are provided to confirm numerical theoretical results and demonstrate the efficiency of the high-order compact difference scheme.& nbsp;(c) 2021 Elsevier Inc. All rights reserved.
Fractional Burgers' equationCompact difference schemeReduction order methodPointwise error estimate
NSTL
Elsevier
