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Zbl 1003.76070
Wan, Dencheng; Wei, Guowei
The study of quasi-wavelets based numerical method applied to Burgers equations. (English)
[J] Appl. Math. Mech., Engl. Ed. 21, No.10, 1099-1110 (2000). ISSN 0253-4827; ISSN 1573-2754/e

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 2000:: *76M25 Other numerical methods
76M20 Finite difference methods
76D99 Incompressible viscous fluids

Keywords: regularized orthogonal scaling function; quasi-wavelet based method; partial differential Burgers equation; fourth-order Runge-Kutta method

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Zentralblatt MATH Berlin [Germany]