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Boundary Value Green’s Functions

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Boundary Value Problems for Engineers
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Abstract

The linear superposition principle is one of the most elegant and effective methods to represent solutions of BVPs in terms of an auxiliary function known as Green’s function which was first introduced by George Green (George Green (1793–1841), English mathematician.) in 1828.

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Notes

  1. 1.

    George Green (1793–1841), English mathematician.

  2. 2.

    For the proofs related to properties of boundary value Green’s functions, see textbooks, for example, [5,6,7,8,9,10].

  3. 3.

    The Heaviside (unit) step function, \( H\left( {x - z} \right) \) is defined by

    \( H\left( {x - z} \right) = \left\{ {\begin{array}{*{20}c} 0 & {z < x} \\ 1 & {z > x} \\ \end{array} } \right. \)

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Correspondence to Ali Ümit Keskin .

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Keskin, A.Ü. (2019). Boundary Value Green’s Functions. In: Boundary Value Problems for Engineers. Springer, Cham. https://doi.org/10.1007/978-3-030-21080-9_4

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  • DOI: https://doi.org/10.1007/978-3-030-21080-9_4

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