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

共 50 条

[41] On the quasi-linear reflected backward stochastic partial differential equations
Qiu, Jinniao
Wei, Wenning
JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 267 (10) : 3598 - 3656
[42] AN EIGENVALUE PROBLEM FOR QUASI-LINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
BERGER, MS
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 71 (01) : 171 - &
[43] ON NONDEGENERATE QUASI-LINEAR STOCHASTIC PARTIAL-DIFFERENTIAL EQUATIONS
GYONGY, I
POTENTIAL ANALYSIS, 1995, 4 (02) : 157 - 171
[44] A CLASS OF REDUCIBLE SYSTEMS OF QUASI-LINEAR PARTIAL DIFFERENTIAL EQUATIONS
CHU, CW
QUARTERLY OF APPLIED MATHEMATICS, 1965, 23 (03) : 275 - &
[45] RESONANCE AND QUASI-LINEAR PARABOLIC PARTIAL-DIFFERENTIAL EQUATIONS
LEFTON, LE
SHAPIRO, VL
JOURNAL OF DIFFERENTIAL EQUATIONS, 1993, 101 (01) : 148 - 177
[46] A LOCAL EXISTENCE THEOREM FOR QUASI-LINEAR PARTIAL DIFFERENTIAL EQUATIONS
ARTIAGA, L
ELCRAT, AR
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1969, 26 (03) : 545 - &
[47] ON A CLASS OF QUASI-LINEAR PARTIAL INTEGRODIFFERENTIAL EQUATIONS WITH SINGULAR KERNELS
HRUSA, WJ
RENARDY, M
JOURNAL OF DIFFERENTIAL EQUATIONS, 1986, 64 (02) : 195 - 220
[48] Stability of a Spline Collocation Difference Scheme for a Quasi-Linear Differential Algebraic System of First-Order Partial Differential Equations
Svinina, S. V.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2018, 58 (11) : 1775 - 1791
[49] Stability of a Spline Collocation Difference Scheme for a Quasi-Linear Differential Algebraic System of First-Order Partial Differential Equations
S. V. Svinina
Computational Mathematics and Mathematical Physics, 2018, 58 : 1775 - 1791
[50] Generalized RKM methods for solving fifth-order quasi-linear fractional partial differential equation
Cherati, AllahBakhsh Yazdani
Kadhim, Murtadha A.
Mechee, Mohammed Sahib
OPEN ENGINEERING, 2024, 14 (01):

← 1 2 3 4 5 →