Yıl 2018, Cilt 6, Sayı 1, Sayfalar 45 - 54 2018-04-30

MESHLESS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR GENERAL ROSENAU KdV-RLW EQUATION

Bahar KARAMAN [1] , Yılmaz DERELİ [2]

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In the present study, the meshless method based on radial basis functions is applied for finding the numerical solution of the general Rosenau KdV-RLW equation. Firstly, Crank-Nicolson and forward finite difference methods are used for discretization of the unknown function  and its time derivative, respectively. A linearization technique is applied for the approximate solution of the equation. Secondly, we calculate the numerical values of invariants of the motions to examine the fundamental conservative properties of the equation. Also, the error norms are computed to determine the accuracy of the proposed method. Linear stability analysis is tested to determine whether the present method is stable or unstable. The scheme gives unconditionally stable. At the end of this paper, obtained results indicate the accuracy and applicability of this method.

Radial Basis Functions, General Rosenau KdV-RLW equation
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Birincil Dil en
Konular Temel Bilimler (Genel)
Dergi Bölümü Araştırma Makalesi
Yazarlar

Yazar: Bahar KARAMAN
Ülke: Turkey


Yazar: Yılmaz DERELİ

Bibtex @araştırma makalesi { aubtdb304095, journal = {Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler}, issn = {2146-0272}, eissn = {2146-0191}, address = {Anadolu Üniversitesi}, year = {2018}, volume = {6}, pages = {45 - 54}, doi = {10.20290/aubtdb.304095}, title = {MESHLESS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR GENERAL ROSENAU KdV-RLW EQUATION}, key = {cite}, author = {DERELİ, Yılmaz and KARAMAN, Bahar} }
APA KARAMAN, B , DERELİ, Y . (2018). MESHLESS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR GENERAL ROSENAU KdV-RLW EQUATION. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler, 6 (1), 45-54. DOI: 10.20290/aubtdb.304095
MLA KARAMAN, B , DERELİ, Y . "MESHLESS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR GENERAL ROSENAU KdV-RLW EQUATION". Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler 6 (2018): 45-54 <http://dergipark.gov.tr/aubtdb/issue/32199/304095>
Chicago KARAMAN, B , DERELİ, Y . "MESHLESS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR GENERAL ROSENAU KdV-RLW EQUATION". Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler 6 (2018): 45-54
RIS TY - JOUR T1 - MESHLESS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR GENERAL ROSENAU KdV-RLW EQUATION AU - Bahar KARAMAN , Yılmaz DERELİ Y1 - 2018 PY - 2018 N1 - doi: 10.20290/aubtdb.304095 DO - 10.20290/aubtdb.304095 T2 - Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler JF - Journal JO - JOR SP - 45 EP - 54 VL - 6 IS - 1 SN - 2146-0272-2146-0191 M3 - doi: 10.20290/aubtdb.304095 UR - http://dx.doi.org/10.20290/aubtdb.304095 Y2 - 2018 ER -
EndNote %0 Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler MESHLESS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR GENERAL ROSENAU KdV-RLW EQUATION %A Bahar KARAMAN , Yılmaz DERELİ %T MESHLESS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR GENERAL ROSENAU KdV-RLW EQUATION %D 2018 %J Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler %P 2146-0272-2146-0191 %V 6 %N 1 %R doi: 10.20290/aubtdb.304095 %U 10.20290/aubtdb.304095
ISNAD KARAMAN, Bahar , DERELİ, Yılmaz . "MESHLESS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR GENERAL ROSENAU KdV-RLW EQUATION". Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler 6 / 1 (Nisan 2018): 45-54. http://dx.doi.org/10.20290/aubtdb.304095