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Connection coefficients on an interval and wavelet solutions of Burgers equation. (English) Zbl 0990.65096

Summary: A definition of connection coefficients is introduced and techniques of computation are presented. We use semi-implicit time difference scheme to solve Burgers equation by applying the evaluations of connection coefficients in calculating the integrals of the variational form. Comparisons of accuracy and robustness of numerical solutions are mentioned in the examples.

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65T60 Numerical methods for wavelets
35Q53 KdV equations (Korteweg-de Vries equations)
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