The cells placed close to each other are called adjacent cells, also known as the neighbouring cells.
The adjacent cells in neither the animals nor plants share a common wall.
However, they comprise compositions, via which they communicate with each other and pass water and nutrients across them.
The cells in the plants are associated with each other by plasmodesmata, that is, the membranous channel-like compositions, which connect one cell of a plant with another.
On the other hand, in the cells of animals, three kinds of junctions are present, that is, desmosomes, tight junctions, and gap junctions that assist in the conduction of nutrients and ions.