Aksan, Emine Nesligul2024-08-042024-08-0420180354-98362334-7163https://doi.org/10.2298/TSCI170613286Ahttps://hdl.handle.net/11616/98284It 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.eninfo:eu-repo/semantics/openAccessBurgers' equationcubic B-spline functionsfinite element methodArticle22S195S20210.2298/TSCI170613286A2-s2.0-85046870343Q3WOS:000431094700023Q3