Abstract:
Nonlinear wave phenomena appear in many fields, such as fluid mechanics, plasma physics, applied
mathematics, in engineering problems, biology, hydrodynamics, solid state physics and optical bers. In order
to better understand these nonlinear phenomena, it is important to explore their exact solutions. But exact
solutions of these equations are commonly not derivable, particularly when the nonlinear terms are
contained. In so far as only limited classes of these equations are solved by analytical means, numerical
solutions of these nonlinear partial differential equations are very operable to examine physical phenomena
[1]. In this work, we have obtained numerical solutions of the generalized RosenauKawahara-RLW equation
by using collocation finite element method. To show the effectivity and proficiency of the method, error
norms L2, L∞ and invariant IE have been computed. A linear stability analysis based on a Fourier method
states that the numerical scheme is unconditionally stable
