TY - JOUR
TI - An application of cubic B-Spline finite element method for the Burgers` equation
AU - Aksan Emine Nesligul
JN - Thermal Science
PY - 2018
VL - 22
IS - 11
SP - 195
EP - 202
PT - Article
AB - 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.