New integral transforms for solving a steady heat transfer problem

摘要

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(?)= ?∞∫?∞ П(t)e-it/? dt are addressed for the first time. They are used to handle a steady heat transfer equation. The proposed methods are efficient and accurate.