Journal of King Saud University: Engineering Sciences (Jan 1995)

On the Fundamental Solution of the Reduced Wave Equation

  • M.A. Al-Gwaiz

DOI
https://doi.org/10.1016/s1018-3639(18)30634-2
Journal volume & issue
Vol. 7, no. 2
pp. 343 – 350

Abstract

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A method is presented for constructing fundamental solutions for the Helmholtz operators Δ ± k2 in Rn in terms of the fundamental singularity for the Laplacian Δ. The feasibility of representing a fundamental solution for Δ2 − k4 by forming convolutions of such solutions is also discussed.