TY - JOUR ID - Cuchta2023 LB - Cuchta2023 AU - Cuchta, Tom AU - Ferreira, Rui A.C. TI - The heat equation on time scales ST - The heat equation on time scales JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2023 VL - 43 IS - 4 SP - 475 EP - 491 DO - https://doi.org/10.7494/OpMath.2023.43.4.475 UR - https://doi.org/10.7494/OpMath.2023.43.4.475 AB - We present the use of a Fourier transform on time scales to solve a dynamic heat IVP. This is done by inverting a certain exponential function via contour integral. We include some specific examples and directions for further study. KW - heat equation KW - time scales KW - Fourier transform SN - 1232-9274 ER -