Numerical methods for weak solution of wave equation with van der Pol type nonlinear boundary conditions

Jun Liu; Yu Huang; Haiwei Sun; Mingqing Xiao

doi:10.1002/num.21997

Numerical methods for weak solution of wave equation with van der Pol type nonlinear boundary conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21997 ◽

2015 ◽

Vol 32 (2) ◽

pp. 373-398 ◽

Cited By ~ 4

Author(s):

Jun Liu ◽

Yu Huang ◽

Haiwei Sun ◽

Mingqing Xiao

Keyword(s):

Wave Equation ◽

Weak Solution ◽

Numerical Methods ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Van Der Pol

Download Full-text

Generalized solution of a nonlinear wave equation with nonlinear boundary conditions of the first, second, and third kinds

Differential Equations ◽

10.1134/s0012266109030112 ◽

2009 ◽

Vol 45 (3) ◽

pp. 416-428

Author(s):

V. A. Terletskii ◽

E. A. Lutkovskaya

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Generalized Solution

Download Full-text

GLOBAL ATTRACTOR OF THE WEAKLY DAMPED WAVE EQUATION WITH NONLINEAR BOUNDARY CONDITIONS

Communications of the Korean Mathematical Society ◽

10.4134/ckms.2012.27.1.097 ◽

2012 ◽

Vol 27 (1) ◽

pp. 97-106

Author(s):

Chaosheng Zhu

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Global Attractor ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Damped Wave Equation

Download Full-text

Spatial behavior estimates for the wave equation under nonlinear boundary conditions

Mathematical and Computer Modelling ◽

10.1016/s0895-7177(01)00080-2 ◽

2001 ◽

Vol 34 (5-6) ◽

pp. 527-532 ◽

Cited By ~ 2

Author(s):

A.O. Celebi ◽

V.K. Kalantarov

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Spatial Behavior

Download Full-text

Numerical Methods for Quasi‐Linear Elliptic Equations with Nonlinear Boundary Conditions

SIAM Journal on Numerical Analysis ◽

10.1137/060653640 ◽

2007 ◽

Vol 45 (3) ◽

pp. 1081-1106 ◽

Cited By ~ 8

Author(s):

C. V. Pao

Keyword(s):

Numerical Methods ◽

Boundary Conditions ◽

Elliptic Equations ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions

Download Full-text

Global and blowup solutions of a mixed problem with nonlinear boundary conditions for a one-dimensional semilinear wave equation

Sbornik Mathematics ◽

10.1070/sm2014v205n04abeh004388 ◽

2014 ◽

Vol 205 (4) ◽

pp. 573-599 ◽

Cited By ~ 1

Author(s):

S. S. Kharibegashvili ◽

O. M. Jokhadze

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Mixed Problem ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

One Dimensional ◽

Semilinear Wave Equation

Download Full-text

Feedforward control design for the wave equation with nonlinear boundary conditions modelling a torsional rod

2008 47th IEEE Conference on Decision and Control ◽

10.1109/cdc.2008.4739220 ◽

2008 ◽

Cited By ~ 1

Author(s):

Marc Oliver Wagner ◽

Thomas Meurer ◽

Andreas Kugi

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Feedforward Control ◽

Control Design ◽

Nonlinear Boundary Conditions

Download Full-text

A nonlinear wave equation associated with nonlinear boundary conditions: Existence and asymptotic expansion of solutions

Nonlinear Analysis ◽

10.1016/j.na.2006.04.013 ◽

2007 ◽

Vol 66 (12) ◽

pp. 2852-2880 ◽

Cited By ~ 3

Author(s):

Nguyen Thanh Long ◽

Vo Giang Giai

Keyword(s):

Asymptotic Expansion ◽

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Asymptotic Expansion Of Solutions

Download Full-text

Solvability and stability of a semilinear wave equation with nonlinear boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2010.04.035 ◽

2010 ◽

Vol 73 (6) ◽

pp. 1495-1514 ◽

Cited By ~ 10

Author(s):

Andrzej Nowakowski

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Semilinear Wave Equation

Download Full-text

Existence and asymptotic expansion for a nonlinear wave equation associated with nonlinear boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2006.08.024 ◽

2007 ◽

Vol 67 (6) ◽

pp. 1791-1819 ◽

Cited By ~ 3

Author(s):

Nguyen Thanh Long ◽

Vo Giang Giai

Keyword(s):

Asymptotic Expansion ◽

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions

Download Full-text

NUMERICAL METHODS FOR COUPLED SYSTEMS OF QUASILINEAR ELLIPTIC EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS

Journal of Applied Analysis & Computation ◽

10.11948/2016039 ◽

2016 ◽

Vol 6 (2) ◽

pp. 543-581

Author(s):

C. V. Pao ◽

◽

Taiping He ◽

Keyword(s):

Numerical Methods ◽

Boundary Conditions ◽

Elliptic Equations ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Coupled Systems ◽

Quasilinear Elliptic Equations ◽

Quasilinear Elliptic

Download Full-text