METHOD OF LINES FOR THE SOLUTIONS OF SOME NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS.

被引：0

作者：

Gyori, I. ^{[1
]}

机构：

[1] Szeged Univ of Medicine, Szeged, Hung, Szeged Univ of Medicine, Szeged, Hung

来源：

Computers & mathematics with applications | 1988年 / 15卷 / 6-8期

关键词：

BIOMEDICAL ENGINEERING - Mathematical Models;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We deal with the method of lines in the case of certain first order nonlinear partial differential equations as well as equations of the parabolic type. A new aspect, compared to earlier investigations, is that the system we consider may contain partial and ordinary differential equations alike and, in addition the r. h. s. of the equations may involve some nonlinear operators. The domain of definition of the solutions is bounded by time dependent functions. Our general results are demonstrated on a simple system which describes a biological model.

引用

页码：635 / 658

共 50 条

[1] THE METHOD OF LINES FOR THE SOLUTIONS OF SOME NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS
GYORI, I
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1988, 15 (6-8) : 635 - 658
[2] APPLICATION OF THE METHOD OF LINES TO THE SOLUTION OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS.
Jones, D.J.
South Jr., J.C.
Aeronautical Report (National Research Council Canada), 1979, (LR-599):
[3] Cauchy Problem for Nonlinear Partial Differential Equations.
Lipovoi, G.S.
Fil'chakov, P.F.
Gidromekhanika, 1975, (32): : 3 - 9
[4] The Multisoliton Solutions of Some Nonlinear Partial Differential Equations
Taghizadeh, N.
Mirzazadeh, M.
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2011, 6 (01): : 284 - 291
[5] Exact solutions for some nonlinear partial differential equations
Peng, YZ
PHYSICS LETTERS A, 2003, 314 (5-6) : 401 - 408
[6] Stochastic solutions of some nonlinear partial differential equations
Vilela Mendes, R.
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2009, 81 (3-4) : 279 - 297
[7] Exact solutions of some nonlinear partial differential equations
Inan, Ibrahim E.
Kaya, Dogan
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 381 (104-115) : 104 - 115
[8] Stochastic viscosity solutions for nonlinear stochastic partial differential equations. Part I
Buckdahn, R
Ma, J
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2001, 93 (02) : 181 - 204
[9] New Exact Solutions of some Nonlinear Partial Differential Equations by the First Integral Method
Taghizadeh, Nasir
Mirzazadeh, Mohammad
Farahrooz, Foroozan
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2010, 5 (02): : 446 - 456
[10] Exact solutions of some nonlinear partial differential equations using functional variable method
Nazarzadeh, A.
Eslami, M.
Mirzazadeh, M.
PRAMANA-JOURNAL OF PHYSICS, 2013, 81 (02): : 225 - 236

← 1 2 3 4 5 →