What is the concept of finite volume method in Numerical Analysis?

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What is the concept of finite volume method in Numerical Analysis?

The concept of finite volume method in Numerical Analysis is a numerical technique used to solve partial differential equations (PDEs) by dividing the domain into small control volumes or cells. The method focuses on the conservation of quantities within each control volume, where the PDEs are approximated by integrating them over each control volume. This approach allows for the calculation of fluxes at the boundaries of each control volume, which are used to update the values of the variables within the domain. The finite volume method is particularly useful for problems involving fluid flow, heat transfer, and other physical phenomena.