Comparison between two meshless methods for the Rosenau-Kawahara equation

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Tarih

2018

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Centre Environment Social & Economic Research Publ-Ceser

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

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.

Açıklama

WOS:000438893400010

Anahtar Kelimeler

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

Kaynak

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

57

Sayı

4

Künye

Arı, M., Karaman, B., Dereli, Y., (2018). Comparison between two meshless methods for the Rosenau-Kawahara equation. International Journal Of Applied Mathematics & Statistics, 57, 4, 117-124.