Efficient structure‐preserving schemes for good Boussinesq equation

2018 ◽  
Vol 41 (5) ◽  
pp. 1743-1752 ◽  
Author(s):  
Meng Chen ◽  
Linghua Kong ◽  
Yuqi Hong
Author(s):  
M. P. Pavan Kumar ◽  
B. Poornima ◽  
H. S. Nagendraswamy ◽  
C. Manjunath

2019 ◽  
Vol 177 ◽  
pp. 106002
Author(s):  
Johnny Leung ◽  
Michel Kinnaert ◽  
Jean-Claude Maun ◽  
Fortunato Villella

Open Physics ◽  
2020 ◽  
Vol 18 (1) ◽  
pp. 545-554
Author(s):  
Asghar Ali ◽  
Aly R. Seadawy ◽  
Dumitru Baleanu

AbstractThis article scrutinizes the efficacy of analytical mathematical schemes, improved simple equation and exp(-\text{Ψ}(\xi ))-expansion techniques for solving the well-known nonlinear partial differential equations. A longitudinal wave model is used for the description of the dispersion in the circular rod grounded via transverse Poisson’s effect; similarly, the Boussinesq equation is used for extensive wave propagation on the surface of water. Many other such types of equations are also solved with these techniques. Hence, our methods appear easier and faster via symbolic computation.


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