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Exponential and Separation of Variables Exact Solutions to the Linear, Delayed, Unidirectional Wave Equation

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@ Clark Atlanta University

Mickens, Ronald E Oyedeji, Kale

Description

Abstract: We calculate sone exact solutions to the linear,delayed, unidirectional wave equation using the method of separation-of-variables and an exponential type ansatz. Some important features of these solutions are indicated and their stabilities are examined. An order-four Taylor series is determined for the exponential-type solutions where the expansion is in terms of the delay parameter. Some brief comments on the delayed diffusion and other physical based equations are also given.DOI: https://doi.org/10.22595/cau.ir:2020_mickens_oyedeji_exponential

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Clark Atlanta University

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Digital Library of Georgia