Yadollah AryaNejad
tlooto Summary
Researchers solve the diffusion equation on a sphere by classifying symmetry and building optimal Lie subalgebras, providing exact invariant solutions.
Abstract
We examine the diffusion equation on the sphere. In this sense, we answer question of the symmetry classification. We provide the algebra of symmetry and build the optimal system of Lie subalgebras. We prove for one-dimensional optimal systems of Eq.(4), space is expanding Ricci solitons. Reductions of similarities related to subalgebras are classified, and some exact invariant solutions of the diffusion equation on the sphere are presented.
Citation format
ARYANEJAD, Yadollah. Exact solutions of diffusion equation on sphere. Computational Methods for Differential Equations, 2021.