NUMERICAL-ANALYTICAL METHOD FOR SOLVING OF THE FIRST ORDER PARTIAL QUASI-LINEAR EQUATIONS

被引：0

作者：

Aliev, Fikret A. ^{[1
,3
]}

Aliev, N. A. ^{[1
]}

Hasanov, K. G. ^{[1
]}

Guliev, A. P. ^{[2
]}

Turarov, A. K. ^{[4
]}

Isaeva, G. V. ^{[5
]}

机构：

[1] Baku State Univ, Inst Appl Math, Baku, Azerbaijan

[2] Baku State Univ, Inst Appl Math, Dept Math Modeling & Automated Syst, Baku, Azerbaijan

[3] ANAS, Inst Informat Technol, Baku, Azerbaijan

[4] East Kazakhstan State Tech Univ, Astana, Kazakhstan

[5] Azerbaijan State Pedag Univ, Baku, Azerbaijan

来源：

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS | 2015年 / 6卷 / 02期

关键词：

partial differential equation; quasi linear equation; method of characteristics; implicit solution; numerical algorithms; gas lift;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：158 / 164

页数：7

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