Analysis on a high accuracy fully implicit solution for strong nonlinear diffusion problem - convergence, stability, and uniqueness

Author:

Gong Yujie,Yuan Guangwei,Cui Xia

Funder

CAEP Foundation

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference35 articles.

1. Co-operation, competition and crowding: a discrete framework linking Allee kinetics, nonlinear diffusion, shocks and sharp-fronted travelling waves;Johnson;Sci. Rep.,2017

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3. Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation;Shi;Appl. Math. Comput.,2017

4. Mixed finite volume element - upwind mixed volume element of compressible two-phase displacement and its numerical analysis;Yuan;J. Comput. Appl. Math.,2020

5. A reduced-order finite element method based on POD for the incompressible miscible displacement problem;Song;Comput. Math. Appl.,2021

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