TY - JOUR ID - 12827 TI - Exact solutions of diffusion equation on sphere JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - AryaNejad, Yadollah AD - Department of Mathematics, Payame Noor university, 19395-4697, Tehran, Iran. Y1 - 2022 PY - 2022 VL - 10 IS - 3 SP - 789 EP - 798 KW - Ricci soliton KW - Lie Subalgebras KW - Reduction equations KW - Diffusion equation DO - 10.22034/cmde.2021.44459.1876 N2 - We examine the diffusion equation on the sphere. In this sense, we answer the 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. (1.4), 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. UR - https://cmde.tabrizu.ac.ir/article_12827.html L1 - https://cmde.tabrizu.ac.ir/article_12827_4d705c5bee0bffc655ce1b29202538e0.pdf ER -