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## entrAn Application of Galerkin Method to Generalized Benjamin-Bona-Mahony-Burgers EquationGenelleştirilmiş Benjamin-Bona-Mahony Denklemine Galerkin Metodunun Bir Uygulaması

#### Turgut AK [1]

##### 86 189

In this study, Galerkin finite element method is applied to generalized Benjamin-Bona-Mahony-Burgers (gBBM-B) equation. Quadratic B-spline functions are used as interpolation function. Stability analysis is investigated based on von Neumann theory. The performance of the proposed method is checked by two test problems with zero boundary conditions. As a result, it is observed that applied method is successful and efficient to show motions of some waves.

Bu çalışmada, genelleştirilmiş Benjamin-Bona-Mahony (gBBM-B) denklemine Galerkin sonlu elemanlar yöntemi uygulanmıştır. İnterpolasyon fonksiyonu olarak kuadratik B-spline fonksiyonlar kullanılmıştır. Von Neumann teorisine bağlı olarak kararlılık analizi incelenmiştir. Sıfır sınır şartları ile iki test problemi yardımıyla önerilen yöntemin performansı kontrol edilmiştir. Sonuç olarak, uygulanan yöntemin bazı dalga hareketlerini göstermek için başarılı ve etkili olduğu gözlenmiştir.

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 Bibtex @research article { adyusci427462, journal = {Adıyaman University Journal of Science}, issn = {2147-1630}, eissn = {2146-586X}, address = {Adıyaman University}, year = {2018}, volume = {8}, pages = {53 - 69}, doi = {}, title = {An Application of Galerkin Method to Generalized Benjamin-Bona-Mahony-Burgers Equation}, key = {cite}, author = {AK, Turgut} } APA AK, T . (2018). An Application of Galerkin Method to Generalized Benjamin-Bona-Mahony-Burgers Equation. Adıyaman University Journal of Science, 8 (2), 53-69. Retrieved from http://dergipark.org.tr/adyusci/issue/42366/427462 MLA AK, T . "An Application of Galerkin Method to Generalized Benjamin-Bona-Mahony-Burgers Equation". Adıyaman University Journal of Science 8 (2018): 53-69 Chicago AK, T . "An Application of Galerkin Method to Generalized Benjamin-Bona-Mahony-Burgers Equation". Adıyaman University Journal of Science 8 (2018): 53-69 RIS TY - JOUR T1 - An Application of Galerkin Method to Generalized Benjamin-Bona-Mahony-Burgers Equation AU - Turgut AK Y1 - 2018 PY - 2018 N1 - DO - T2 - Adıyaman University Journal of Science JF - Journal JO - JOR SP - 53 EP - 69 VL - 8 IS - 2 SN - 2147-1630-2146-586X M3 - UR - Y2 - 2019 ER - EndNote %0 Adıyaman University Journal of Science An Application of Galerkin Method to Generalized Benjamin-Bona-Mahony-Burgers Equation %A Turgut AK %T An Application of Galerkin Method to Generalized Benjamin-Bona-Mahony-Burgers Equation %D 2018 %J Adıyaman University Journal of Science %P 2147-1630-2146-586X %V 8 %N 2 %R %U ISNAD AK, Turgut . "An Application of Galerkin Method to Generalized Benjamin-Bona-Mahony-Burgers Equation". Adıyaman University Journal of Science 8 / 2 (December 2018): 53-69.