Open AccessApproximation and Eventual periodicity of Generalized Kawahara equation using RBF-FD method
Author(s) -
Hameed Ullah,
Marjan Uddin
Publication year - 2021
Publication title -
the punjab university journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 1016-2526
DOI - 10.52280/pujm.2021.530904
Subject(s) - nonlinear system , bounded function , mathematics , mathematical analysis , radial basis function , boundary value problem , function (biology) , domain (mathematical analysis) , physics , computer science , artificial neural network , quantum mechanics , machine learning , evolutionary biology , biology
In engineering and mathematical physics nonlinear evolutionary equations play an important role. Kawahara equation is one of the famous nonlinear evolution equation appeared in the theories of shallow water waves possessing surface tension, capillary-gravity waves and also magneto-acoustic waves in a plasma. Another specific subjective parts of arrangements for some of evolution equations demonstrated by investigations, which connect alongwith their large-time behavior named as eventual time periodicity uncovered across solutions to IBVPs (initialboundary-value problems). In this study eventual periodicity of solutions for 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.