Add a non-model field on a ModelSerializer in DRF 3

class MySerializer(serializers.ModelSerializer):
    write_only_char_field = serializers.CharField(write_only=True)
    write_only_list_char_field = serializers.ListField(child=serializers.CharField(max_length=100, default=""), write_only=True)
    empty_method_field = serializers.SerializerMethodField()
    read_only_custom_model_field = serializers.CharField(source="custom_property", read_only=True)

    def create(self, validated_data):
        validated_data.pop('write_only_char_field', None)
        validated_data.pop('write_only_list_char_field', None)
        return super().create(validated_data)

The serializers.CharField(write_only=True) and serializers.ListField(...) is a good solution to provide extra data to your .create() and .update() methods, as either a single string or a list of strings (you can mix ListField with other serializer field types).
With this method, you can also define def validate_write_only_char_field to implement some quick and simple validation.

serializers.SerializerMethodField() allows you to add some custom read-only field to your serializer output from a method defined on the serializer.

The read_only_custom_model_field would use a method on your model to read some data, not strictly a model field, but a custom method. I.e.

class MyModel(models.Model):
    my_field = models.CharField(max_length=100)

    @property
    def custom_property(self):
        return "Perform calculations, combine with related models, etc. etc."