JOURNAL OF MATHEMATICAL PHYSICS, vol.59, no.6, 2018 (Journal Indexed in SCI)
We present a comparative study of fundamental solutions (heat kernels) of variable coefficient heat type partial differential equations based on Lie symmetry group methods and equivalence transformations discussed in the work of Gungor [J. Math. Phys. 59, 051507 (2018)]. Applications will include both one-and two-dimensional equations. Published by AIP Publishing.