Dogan A.2019-08-012019-08-0120040096-3003https://dx.doi.org/10.1016/j.amc.2003.08.037https://hdl.handle.net/11480/1305A Galerkin finite element method is presented for the numerical solution of Burgers' equation. A linear recurrence relationship for the numerical solution of the resulting system of ordinary differential equations is found via a Crank-Nicolson approach involving a product approximation. It is shown that this method is capable of solving Burgers' equation accurately for a wide range of viscosity values. The results show that the new method performs better than the most of the methods available in the literature. © 2003 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessBurgers' equationFinite element methodsGalerkinArticle157233134610.1016/j.amc.2003.08.0372-s2.0-4444378330Q1WOS:000224276900004Q3