Abstract
Natural gas transmission systems stand for mathematical modeled complex systems as systems
with distributed parameters having the form of differential equations with partial derivatives. In view of
studying some practical situations, such as the process of flow along a natural gas pipeline, a simplified
mathematical model may be used. Practical operation with this model demands a spatial and temporal
discretization of functions of interest (pressure and weight/flow rate). The paper develops one such
model and analyses the necessary discretization processes needed for numeric integration. Using an
implicitly numeric integration method three case studies suitable to some flow processes through
pipelines in distinct situations are developed. As the results obtained by computation are very close to the
experimental ones, the case studies acknowledge both the validity of the developed simplified model and
those of the calculation procedures used.
