Fractional Steps Scheme to Approximate the Phase Field Transition System Endowed with Inhomogeneous/Homogeneous Cauchy-Neumann/Neumann Boundary Conditions

Fractional Steps Scheme to Approximate the Phase Field Transition System Endowed with Inhomogeneous/Homogeneous Cauchy-Neumann/Neumann Boundary Conditions

Here, we consider the phase field transition system (a nonlinear system of parabolic type) introduced by Caginalp to distinguish between the phases of the material that are involved in the solidification process. We start by investigating the solvability of such boundary value problems in the class...

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Bibliographic Details
Main Authors: Constantin Fetecau , Costică Moroşanu, Dorin-Cătălin Stoicescu
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Axioms
Subjects:
boundary value problems for nonlinear parabolic PDE
fractional steps method
convergence of numerical scheme
numerical algorithm
phase-changes
Online Access:https://www.mdpi.com/2075-1680/12/12/1098

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