Approximation and Eventual periodicity of Generalized Kawahara equation using RBF-FD method.

摘要

In engineering and mathematical physics nonlinear evolutionary equations play an important role. Kawahara equation is one of thefamous nonlinear evolution equation appeared in the theories of shallowwater waves possessing surface tension, capillary-gravity waves and alsomagneto-acoustic waves in a plasma. Another specific subjective partsof arrangements for some of evolution equations demonstrated by investigations, which connect alongwith their large-time behavior named aseventual time periodicity uncovered across solutions to IBVPs (initialboundary-value problems). In this study eventual periodicity of solutionsfor the generalized fifth order Kawahara equation (IBVP) on bounded domain coupled with periodic boundary condition will explored numericallyutilizing meshless technique called as Radial basis function generated finite difference (RBF-FD) method.