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Updated: Jul 27, 2025

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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An operator splitting scheme for numerical simulation of spinodal decomposition and microstructure evolution of

Abdullah Shah1, Sana Ayub2, Muhammad Sohaib1,2,3

  • 1Department of Mathematics, King Fahd University of Petroleum and Minerals, 31261, Dhahran, Saudi Arabia.

Heliyon
|June 9, 2023
PubMed
Summary

The operator splitting scheme is more computationally efficient for solving the Cahn-Hilliard equation, as demonstrated by simulating spinodal decomposition. All tested numerical schemes exhibit conditional stability.

Keywords:
Cahn-Hilliard equationLinearly stabilized splitting schemeOperator splitting schemeSemi-implicit Euler's schemeThe spinodal decomposition

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