What is it about?
It is known that the control volume method is widely used in numerical analysis for solving boundary value problems. Using this approach allows obtaining an approximate-analytical method for obtaining a solution to boundary value problems. A method for averaging boundary value problems over the volume being moved is proposed. The control volume is unique and movable in the area under consideration. The solution of the problem is obtained by averaging the differential equation over the volume being moved. For two-dimensional boundary value problems, it is also recommended to average over one variable. On the basis of which an ordinary differential is obtained and the solution of which gives a better solution to the problem. Examples are given.
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Why is it important?
The above examples show that it is convenient to apply the method of a moving control volume for engineering calculations. If the dimensions of the two-dimensional region are commensurate with each other, then averaging over both variables is more convenient
Perspectives
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Umurdin Dalabaev
University of world economy and diplomacy
Read the Original
This page is a summary of: Approximate-analytical Control Volume Method for Solving Boundary Value Problems, September 2023, Sciencedomain International,
DOI: 10.9734/bpi/fraps/v9/6229c.
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