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- W2016113908 abstract "The non-linear Burgers' equation is solved numerically by a B-spline finite element method. The approach used is based on collocation of cubic B-splines over finite elements so that we have continuity of the dependent variable and its first two derivatives throughout the solution range. A linear stability analysis shows that a numerical scheme based on a Crank-Nicolson approximation in time is unconditionally stable. Three standard problems are used to validate the algorithm. Comparisons are made with published numeric and analytic solutions. The proposed method performs well." @default.
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- W2016113908 title "A collocation solution for Burgers' equation using cubic B-spline finite elements" @default.
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- W2016113908 doi "https://doi.org/10.1016/0045-7825(92)90088-2" @default.
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