The convergence of two linearized finite difference schemes for the modified phase field crystal equation
DOI10.1080/10236198.2021.2012170zbMath1481.65143OpenAlexW4200119331MaRDI QIDQ5023850
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Publication date: 25 January 2022
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2021.2012170
convergencelinearizationsolvabilitynonlinear problemlinearized difference schememodified phase field crystal model
Statistical mechanics of crystals (82D25) 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)
Cites Work
- Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation
- A three level linearized compact difference scheme for the Cahn-Hilliard equation
- Global smooth solutions of the three-dimensional modified phase field crystal equation
- Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation
- First- and second-order energy stable methods for the modified phase field crystal equation
- The numerical simulation of the phase field crystal (PFC) and modified phase field crystal (MPFC) models via global and local meshless methods
- Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation
- An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
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