Poisson and Kirchhoff formulas deduced by control volumes
DOI:
https://doi.org/10.35819/remat2022v8i1id5516Keywords:
Differential Equations, Integral Equations, Integral TransformsAbstract
This paper presents an alternative deduction for the Poisson and Kirchhoff formulas, which solve the initial value problem defined by the wave equation in two and three dimensions, respectively. This deduction was inspired by a known approach for the one-dimensional case, associated with D'Alembert's formula and which is developed through an integration in a control volume defined in the domain of space and time. It is, therefore, an extension of that approach to two- and three-dimensional cases.
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https://orcid.org/0000-0002-0893-7426
