Comparison of operator splitting schemes for the numerical solution of the Allen-Cahn equation
Source abstract
Abstract
In this paper, we have analyzed the first- and second-order operator splitting schemes for the numerical solution of the Allen-Cahn equation. Different possibilities are considered for the derivation of the schemes. The numerical errors are computed in order to verify the effectiveness of each scheme. Validation of the schemes is provided by numerically solving some well-known examples.
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Research context
OpenAlex topics: Solidification and crystal growth phenomena · Differential Equations and Numerical Methods · Advanced Mathematical Modeling in Engineering
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Affiliations
Department of Mathematics, COMSATS University Islamabad 1 , Park Road, Islamabad 45550, Pakistan
Department of Physics, COMSATS University Islamabad 2 , Park Road, Islamabad 45550, Pakistan
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