AN APPLICATION OF CUBIC B-SPLINE FINITE ELEMENT METHOD FOR THE BURGERS' EQUATION
THERMAL SCIENCE, cilt.22, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 22
- Basım Tarihi: 2018
- Doi Numarası: 10.2298/tsci170613286a
- Dergi Adı: THERMAL SCIENCE
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- İnönü Üniversitesi Adresli: Evet
Özet
It is difficult to achieve exact solution of non-linear PDE, directly. Sometimes, it is possible to convert non-linear PDE into equivalent linear PDE by applying a convenient transformation. Hence, Burgers' equation replaces with heat equation by means of the Hope-Cole transformation. In this study, Burgers' equation was converted to a set of non-linear ODE by keeping non-linear structure of Burgers' equation. In this case, solutions for each of the non-linear ODE were obtained by the help of the cubic B-spline finite element method. Model problems were considered to verify the efficiency of this method. Agreement of the solutions was shown with graphics and tables.