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The phrase "appropriate method for solving" is correct and usable in written English.
It can be used when discussing a suitable approach or technique for addressing a problem or challenge.
Example: "In order to achieve the best results, we need to identify the most appropriate method for solving this complex issue."
Alternatives: "suitable approach for addressing" or "correct technique for resolving".
Exact(4)
Select an appropriate method for solving the problem.
The selection of the appropriate method for solving the problem is be based on the Analytic Hierarchy Process Method [12] that helps to rank methods with taking into account the problem's specifics.
Zimmermann [8] introduced several operations research principles to help select the most appropriate method for solving a specific multi-criteria decision-making in ill-structured situations by using the analytic hierarchy process (AHP).
The optical properties of such nanostructures that are a function of the shape of these nanostructures may be investigated, using the discrete dipole approximation theory which is an appropriate method for solving the light scattering problem from objects of different shape and geometry.
Similar(56)
(4) Select appropriate methods for solving model equations (e.g. differential equation solvers).
"It's an appropriate method for growing tomatoes".
Dispose of sharps using the appropriate method for your workplace.
Choose an appropriate method for the type of pet.
There's no straightforward method for solving them.
Delley, B. An all-electron numerical method for solving the local density functional for polyatomic molecules.
There was no reliable method for solving for this curvature.
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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