nördlich
northern
Describes a position or direction that lies in the north or points north.
Flensburg liegt im nördlichsten Teil von Deutschland.
Flensburg is located in the northernmost part of Germany.

northern
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northern
Describes a position or direction that lies in the north or points north.
Flensburg liegt im nördlichsten Teil von Deutschland.
Flensburg is located in the northernmost part of Germany.

The adjective 'nördlich' (northern) is derived directly from the noun 'der Norden' (the north). The ending '-lich' is a typical way to form adjectives from nouns, as in 'südlich' (southern), 'östlich' (eastern), and 'westlich' (western).
Der Kompass zeigt immer in die nördliche Richtung.
The compass always points in the northern direction.
When 'nördlich' (northern) comes directly before a noun, it describes its geographical quality. It is then declined like any other adjective.
Die nördliche Küste der Insel ist sehr felsig.
The northern coast of the island is very rocky.
To indicate a position relative to another place, the construction 'nördlich von' (north of) + dative is usually used. This structure is very common in everyday language.
Kiel liegt nördlich von Hamburg.
Kiel is north of Hamburg.
In more formal contexts or in written language, 'nördlich' (north of) can also be used with the genitive to describe a position. The 'von' is then omitted.
Das Gebiet liegt nördlich des Flusses.
The area lies north of the river.
north
'der Norden' and 'nördlich' both have to do with the direction north, but they have different functions in a sentence. 'der Norden' is a noun and means the compass direction or a northern part: 'im Norden' (in the north), 'der Norden des Landes' (the north of the country). 'nördlich' describes a location or direction, often with 'von': 'nördlich von Berlin' (north of Berlin). Learners may confuse them because both are spatially similar. If you are naming a place or area, use 'der Norden'. If you are describing where something is in relation to another place, 'nördlich' fits better.

Das kleine Dorf liegt nördlich von Hamburg.
The small village is north of Hamburg.
Der Norden des Landes bekommt im Winter viel Schnee.
The north of the country gets a lot of snow in winter.