A difference method of solving the differential equation y' = h(t, y, y, y')

Z. Kowalski

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In [11], the definitions of forward difference, backward difference, and central difference as difference operations for functions on R were formalized. However, the definitions of forward difference, backward difference, and central difference for functions on vector spaces over F have not been formalized. In cryptology, these definitions are very important in evaluating the security of cryptographic systems [3], [10]. Differential cryptanalysis [4] that undertakes a general purpose...

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In this article, we give the definitions of forward difference, backward difference, central difference and difference quotient, and some of their important properties.