I second TXBill's suggestion to R&R the fuel tank filter screen and clean it. If the screen is clogged with a black/gray colored crud, then suspect algae infesting the tank and fuel system. Hopefully, its not algae but only crud and/or water in the fuel tanks causing the problem. If algae, do a search on this topic in the diesel forum (I and others have written lots on this subject).

Larry's comment about hanging fuel gauges must be considered as this is a common problem - the fuel sending unit is the culprit. When the fuel level gets low, the engine will get some fuel and then no fuel as the diesel circulates through the system and as the car moves around sloshing the remaining fuel around in the tank. The fuel tank has a raised fuel pick-up, the tank has some recesses, and this results is about a 3/8" difference between the bottom of the fuel pick-up and the bottom of the tank - allowing some fuel flow when close to empty and the engine runs and stops as fuel flow stops. This may be your problem since you have not had any problems since filling the tank up.

Good Luck!
Tom

__________________
America: Land of the Free!

1977 300D: 300,000+ miles

American Honda: Factory Trained Technician & Honor Grad.
Formerly:
Shop Foreman;
Technical Advisor to Am. Honda;
Supervisor of Maintenance largest tree care co. in US for offices in Tex.