Construction of discrete analogue of the differential operator $\frac{d^4}{dx^4}+2\frac{d^2}{dx^2}+1$ and its properties
arXiv:1212.36724 citationsh-index: 20
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This is an incremental mathematical construction for researchers working on discrete analogues of differential operators.
The paper constructs a discrete analogue of the differential operator d^4/dx^4 + 2 d^2/dx^2 + 1 and proves some of its properties. No concrete numerical results are reported.
In the present paper the discrete analogue of the differential operator $\frac{d^4}{dx^4}+2\frac{d^2}{dx^2}+1$ is constructed and its some properties are proved.