Title of article
NUMERICAL-ANALYTICAL METHOD FOR SOLVING OF THE FIRST ORDER PARTIAL QUASI-LINEAR EQUATIONS
Author/Authors
ALIEV, FIKRET A. Institute of Information Technology of ANAS, Azerbaijan , ALIEV, FIKRET A. Baku State University - Institute of Applied Mathematics, Azerbaijan , ALIEV, N.A. Baku State University - Institute of Applied Mathematics, Azerbaijan , HASANOV, K.G. Baku State University - Institute of Applied Mathematics, Azerbaijan , GULIEV, A.P. Baku State University - Institute of Applied Mathematics, Azerbaijan , TURAROV, A.K. East Kazakhstan State Technical University - Ust-Kamenogorsk, Kazakhstan , ISAEVA, G.V. Azerbaijan State Pedagogical University, Azerbaijan
From page
158
To page
164
Abstract
Two-dimensional first order non-linear (quasi-linear) partial differential equation which arises in the solving of the system of hyperbolic equations describing of oil production by gas lift using the sweep method, is considered. By using the method of characteristics is shown that the seeking solution can be defined from the corresponding implicit algebraic relation by the help of the fixed point method. The computational algorithm for solving of implicit algebraic relation is giving. For the particular case , when the initial function is constant the analytical solution of the partial quasi linear equation is found.
Keywords
partial differential equation , quasi linear equation , method of characteristics , implicit solution , numerical algorithms , gas lift
Journal title
TWMS Journal of Pure and Applied Mathematics
Journal title
TWMS Journal of Pure and Applied Mathematics
Record number
2527660
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