首页|On high order numerical schemes for fractional differential equations by block-by-block approach
On high order numerical schemes for fractional differential equations by block-by-block approach
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NSTL
Elsevier
The exact solutions to nonlinear fractional problems usually have initial singularity. Taking the singularity into account, the change of variable and the block-by-block approach are introduced to propose a novel high-order scheme. It is proved that our proposed scheme can be of order 3 + alpha under the non-smooth solutions. Numerical examples are shown to validate our theoretical results. (c) 2022 Elsevier Inc. All rights reserved.
Nonlinear fractional differential equationHigh order schemeConvergenceNon-smooth solutionERROR ANALYSISSCHRODINGER-EQUATIONL1-GALERKIN FEMSRANDOM-WALKSDIFFUSIONAPPROXIMATIONCONVERGENCECONVECTIONSTABILITYDYNAMICS
NSTL
Elsevier
