Some Numerical Methods for Solving (1+1)-Dimensional Dispersive Long Wave Equations
2017
The main object of this thesis is to solve (1+1)-Dimensional
Dispersive Long Wave Equations numerically, which play
important roles in nonlinear physics, that describe the evolution of
horizontal velocity component of water waves of height
propagating in both directions in an infinite narrow channel of
finite constant depth. We used Successive approximation method,
Modified successive approximation method, Variational iteration
method, Homotopy perturbation method, Variational homotopy
perturbation method and Homotopy analysis method. Mathematica
software has been used for computations.