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The present numerical approach provides simplicity, computational efficiency and accuracy for solving moving boundary cases.
Fast adaptive numerical methods for solving moving interface problems are presented.
Our new approach in solving the model shows that the ADM is an efficient method for solving moving boundary problems.
This method belongs to the class of Arbitrary Lagrangian Eulerian (ALE) methods for solving moving boundary problems.
The KdV equations are discretized with the use of a quintic Hermite collocation method based on the moving meshes generated by solving moving mesh partial differential equations (MMPDEs).
Several numerical test cases validated the method and a burning carbon particles array falling simulation proved the capability for solving moving reacting particle cluster problems.
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A new numerical method for solving geometric moving interface problems is presented.
A fast modular numerical method for solving general moving interface problems is presented.
The application software DICTRA (Andersson et al., 2002) is well known to provide a numerical procedure solving the moving boundary problem for one-dimensional geometries.
Invariant imbedding is used to develop a straightforward numerical technique for solving the moving boundary value problems in solid-fluid reactions.
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