Analysis of a scheme which preserves the dissipation and positivity of Gibbs' energy for a nonlinear parabolic equation with variable diffusion
DOI10.1016/J.APNUM.2022.09.015zbMath1498.65139OpenAlexW4297496695MaRDI QIDQ2085706
Jorge Eduardo Macías-Díaz, Nuria Reguera-López, Adán J. Serna-Reyes
Publication date: 18 October 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2022.09.015
nonlinear diffusion-reaction equationstability and convergence analysisdissipation of Gibbs' free energystructure-preserving numerical model
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Positive solutions to PDEs (35B09)
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