A programming operation for high density memory, like 3D NAND flash memory, modifies the waveforms applied during program operations to mitigate unwanted disturbance of memory cells not selected for programming during the operation. Generally, the method provides for applying a bias arrangement during an interval of time between program verify pass voltages and program pass voltages in a program sequence that can include a soft ramp down, and pre-turn-on voltages designed to reduce variations in the potential distribution on floating channels of unselected NAND strings during a program operation.