The method of analysis of distribution system in which the domestic supply is neglected and fire demand is considered is

Equivalent Method: - This method is used to convert the entire distribution system of pipes to equivalent pipe, which carries the discharge corresponding to the same head loss.

Hardy-Cross Method: - This method is used to find the discharges in the unknown pipes using the equation of continuity. It only calculates discharges and the method remains the same whether domestic supply or fire demand considered or not.

Electrical Analysis: - This method establishes the analogy between the flow of fluid and the flow of current. As per the electrical analysis, the greater is the resistance lesser will be the flow. Similarly, the greater the head loss, the lesser will be the flow of fluid.

Circle Method:- This method is used for the analysis of the distribution system in which domestic supply is neglected and fire demand is considered.

Refer book schand (dr kn duggal)
All methods are discussed
Answer is circle method
Used for minor pipes
Only fire demand taken
Domestic supply neglect