To Update Samsung Galaxy S3 Neo GT-I9300i Software you need to install a newer firmware version on it. You can update your Samsung Galaxy S3 Neo GT-I9300i without a computer by going to Settings > About Device > Software Update. Also, You can update this Samsung device manually, But you need to use a computer.
In this Guide, You will learn how to update Samsung Galaxy S3 Neo GT-I9300i manually by using the Odin3 flash tool and Samsung Stock Firmware files.