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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 . 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:
76M25Other numerical methods (fluid mechanics)
76M20Finite difference methods (fluid mechanics)
76D99Incompressible viscous fluids
References:
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