Equivalence and symmetries for variable coefficient linear heat type equations. II. Fundamental solutions

Gungor, F.

doi:10.1063/1.5003466

Equivalence and symmetries for variable coefficient linear heat type equations. II. Fundamental solutions

Atıf İçin Kopyala

Gungor F.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.59, 2018 (SCI İndekslerine Giren Dergi)

Cilt numarası: 59 Konu: 6
Basım Tarihi: 2018
Doi Numarası: 10.1063/1.5003466
Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS

Özet

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.