Open Access Open Access  Restricted Access Subscription or Fee Access

Comparison between two meshless methods for the Rosenau-Kawahara equation

Murat Arı, Bahar Karaman, Yılmaz Dereli

Abstract



In this work, we present a comparative study of meshless radial basis functions collocation method and meshless kernel based method of lines for the numerical solution of the general form of Rosenau-Kawahara equation. Traveling wave solutions are simulated by using the meshless methods with well-known radial basis functions. To test the applicability and reliability of the methods, different test problems are studied. Computed numerical values
of error norms and physical conservations are presented. Simulations of waves for test problems are figured. Comparisons of obtained numerical results are shown in different tables. Comparative results show that meshless methods are very effective methods with high accuracy.

Keywords


Meshless Method, Collocation Method, Method of Lines, Radial Basis Functions, Rosenau-Kawahara.

Full Text:

PDF


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.