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The study of quasi-wavelets based numerical method applied to Burgers equations. (English) Zbl 1003.76070

Summary: We present a quasi-wavelet based numerical method for solving the evolution of solutions of nonlinear partial differential Burgers equation. The quasi-wavelet based method is used to discretize spatial derivatives, while a fourth-order Runge-Kutta method is adopted to deal with temporal discretization. The calculations are conducted for Reynolds numbers ranging from 10 to \(\infty\). The comparisons of present results with analytical solutions show that the quasi-wavelet based numerical method has distinctive local property, and it is efficient and robust for numerical solution of Burgers equation.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76M20 Finite difference methods applied to problems in fluid mechanics
76D99 Incompressible viscous fluids
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