B-spline Galerkin methods for numerical solutions of the Burgers' equation

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Abstract

The first order splitting method is applied to the Burgers' equation and two numerical algorithms are set up for this time-splitted Burgers' equation using both quadratic and cubic B-spline Galerkin finite element techniques. The unknowns in the equation is resolved with the B-splines in space and standart Crank-Nicolson differencing schemes is used to advance solution in time. Results of three numerical test problems are used to compare each schemes with available some results. © 2004 Elsevier Inc. All rights reversed.

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Daǧ, I., Saka, B., & Boz, A. (2005). B-spline Galerkin methods for numerical solutions of the Burgers’ equation. Applied Mathematics and Computation, 166(3), 506–522. https://doi.org/10.1016/j.amc.2004.06.078

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