COMPUTATIONAL ALGORITHM FOR SOLVING THE QUASI-LINEAR EQUATION USING THE RELAXATION METHOD
Keywords:
gas lift, hyperbolic equations, differential equations, sweep method, grid method, relaxation methodAbstract
In the paper the Cauchy problem for a system of partial differential equations with a large parameter that describe modeling of oil production by gas lift is considered. To solve this problem, a sweep method is used. In this case, the solution of two differential equations is required, one of which is a quasilinear partial differential equation, and the second an ordinary linear differential
equation. The study of the problem in this form simplifies the solution method and makes it possible to complete the computer realization of the proposed calculation algorithms.
