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An illustrative example verifies the theoretical results.
Simulation of a benchmark example verifies the theoretical statements.
A simulation example verifies the effectiveness of the algorithm.
An illustrative example verifies the effectiveness of the proposed scheme.
Finally, a numerical example verifies the validity of the proposed method.
The second example verifies the model for cross-sectional analyses involving LNAPL and DNAPL migration.
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The following example verifies this fact.
Finally, the simulation examples verify the theoretical findings.
Numerical examples verify the effectiveness of the proposed method.
Several numerical examples verify the validity of the proposed schemes.
Numerical examples verify the sensitivity expressions, and the NDP solution.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com