new integral transforms for solving a steady heat transfer problem

new integral transforms for solving a steady heat transfer problem

;Yang Xiao-Jun
Nature 2017 Vol. 21 pp. 79-87
133
xiao-jun2017thermalnew

Abstract

The new Fourier-like integral transforms П(κ)= κ ∞∫−∞ П(t)e-ikt dt, Π(λ)= 1/λ∞∫−∞ П(t)e-iλt dt, П(γ) 1/γ ∞∫−∞ П(t)e-it/γ dt, П(ς)= ς∞∫−∞ П(t)e-it/ς dt are addressed for the first time. They are used to handle a steady heat transfer equation. The proposed methods are efficient and accurate.

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