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Discrete Wave Equation with Infinite Differences |
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PP: 41-44 |
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doi:10.18576/amisl/050201
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Author(s) |
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Vasily E. Tarasov,
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Abstract |
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| There are different approaches to derive the wave equation with some approximations. In this paper, considering the wave equation as already specified, we get an exact discrete analog of this equation. We derive an discrete equation that exactly corresponds to the continuum wave equation. The proposed discrete equations are represented as equations with T -differences that are represented by infinite series. From a physical point of view, this discrete equation describes a lattice with long-range interactions of power-law type. From a mathematical point of view, it is a uniquely selected difference equation that exactly corresponds to continuous wave equation. |
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