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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 Temel Bilimler Araştırma Makalesi Yazar: Bahar KARAMANÜlke: Turkey Yazar: Yılmaz DERELİ
 Bibtex @araştırma makalesi { aubtdb304095, journal = {ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences}, issn = {2146-0272}, eissn = {2146-0191}, address = {Eskişehir Teknik 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 = {KARAMAN, Bahar and DERELİ, Yılmaz} } APA KARAMAN, B , DERELİ, Y . (2018). MESHLESS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR GENERAL ROSENAU KdV-RLW EQUATION. ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences, 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 UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences 6 (2018): 45-54 Chicago KARAMAN, B , DERELİ, Y . "MESHLESS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR GENERAL ROSENAU KdV-RLW EQUATION". ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences 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 UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences 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 UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences %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 UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences 6 / 1 (Nisan 2018): 45-54. http://dx.doi.org/10.20290/aubtdb.304095