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We study the largest Neptune's moon Triton and the anelastic deformation associated with the obliquity tides by employing spectral methods. For this purpose, we developed our Python 3 program and computed tidal heating for both conductive and convective heat transfer mechanisms in Triton's ice shell. We found that the conductive mechanism predicts marginal powers. However, we had found a family of convective models that anticipates tidal powers of 25- 30 GW, which is not enough to maintain a subsurface ocean but it represents a non-negligible amount. We also found that most of the heating is concentrated around the equator, which raises the question of the connection between tidal heating and cryovolcanism and cantaloupe terrain on Triton. 1