The operational calculus model for the nth-order backward difference
Journal Title: Scientific Journal of Polish Naval Academy - Year 2015, Vol 202, Issue 3
Abstract
In this paper, there has been constructed such a model of the non-classical Bittner operational calculus, in which the derivative is understood as the backward difference ∇[sub]n[/sub]{x(k)} := {x(k) – x(k – n)}. Next, the presented model has been generalized by considering the operation ∇[sub]n,b[/sub]{x(k)} := {x(k) – b x(k – n)}, where b ∈ C {0}.
Authors and Affiliations
Hubert Wysocki
Keywords
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- DOI 10.5604/0860889X.1178573
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The operational calculus model for the nth-order backward difference
In this paper, there has been constructed such a model of the non-classical Bittner operational calculus, in which the derivative is understood as the backward difference ∇[sub]n[/sub]{x(k)} := {x(k) – x(k – n)}. Next, t...