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B-spline collocation methods for numerical solutions of the Burgers’ equation. (English) Zbl 1200.76141

Summary: Both time- and space-splitted Burgers’ equations are solved numerically. Cubic B-spline collocation method is applied to the time-splitted Burgers’ equation. Quadratic B-spline collocation method is used to get numerical solution of the space-splitted Burgers’ equation. The results of both schemes are compared for some test problems.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D99 Incompressible viscous fluids
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
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