On the numerical solution to a nonlinear wave equation associated with the first painlevé equation: an operator-splitting approach

2013 ◽  
Vol 34 (2) ◽  
pp. 237-254 ◽  
Author(s):  
Roland Glowinski ◽  
Annalisa Quaini
Keyword(s):  
Wave Equation ◽  
Numerical Solution ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Operator Splitting ◽  
Painlevé Equation ◽  
Painleve Equation

On the global existence and asymptotic behavior of the solution of a nonlinear wave equation with past history

2021 ◽  
Vol 62 (3) ◽  
pp. 031512
Author(s):  
Adel M. Al-Mahdi ◽  
Mohammad M. Al-Gharabli ◽  
Mohammad Kafini ◽  
Shadi Al-Omari
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Global Existence ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Past History
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