scholarly journals Nonexistence of global solutions to a class of nonlinear wave equations with dynamic boundary conditions

2002 ◽  
Vol 9 (1) ◽  
pp. 39-46 ◽  
Author(s):  
M. Guedda ◽  
H. Labani
Keyword(s):  
Boundary Conditions ◽  
Nonlinear Wave ◽  
Wave Equations ◽  
Global Solutions ◽  
Nonlinear Wave Equations ◽  
Dynamic Boundary Conditions ◽  
Dynamic Boundary

scholarly journals Exact Solution of Linear and Nonlinear Wave Equations by Double Laplace and Iterative Method

2019 ◽  
Vol 11 (5) ◽  
pp. 33
Author(s):  
Adesina K. Adio ◽  
Wumi S. Ajayi ◽  
Olabode O. Bamisile ◽  
Babatunde T. Akanbi
Keyword(s):  
Exact Solution ◽  
Iterative Method ◽  
Boundary Conditions ◽  
Laplace Transform ◽  
Nonlinear Wave ◽  
Wave Equations ◽  
Iteration Process ◽  
Nonlinear Wave Equations ◽  
Double Laplace Transform ◽  
Linear And Nonlinear

A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinear wave equations subject to initial and boundary conditions. The iteration process leads to disappearance of noise terms and exact solution is obtained at first iteration. Through several examples, the convenience and efficiency of the method is demonstrated, showing its usefulness to overcome difficulties associated with some existing techniques.

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