The solution that helped me requires some technical skill.
I separated the screen from the screen shell/cover and disconnected the display cable. Then I cleaned the connector using a pencil eraser and connected things back together. After that, I used a double-sided tape to attach the LED panel back to the screen shell. (I had to use special double-sided tape designed for laptop LCDs though.) It has been more than two weeks since the repair and I have not experienced any issues with the screen since.