Adaptive Interval Wavelet Precise Integration Method for Partial Differential Equations

MEI Shu-li; LU Qi-shao; ZHANG Sen-wen; JIN Li

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(3): 333-340

MEI Shu-li, LU Qi-shao, ZHANG Sen-wen, JIN Li. Adaptive Interval Wavelet Precise Integration Method for Partial Differential Equations[J]. Applied Mathematics and Mechanics, 2005, 26(3): 333-340.

Citation:

MEI Shu-li, LU Qi-shao, ZHANG Sen-wen, JIN Li. Adaptive Interval Wavelet Precise Integration Method for Partial Differential Equations[J]. Applied Mathematics and Mechanics, 2005, 26(3): 333-340.

Citation:

MEI Shu-li, LU Qi-shao, ZHANG Sen-wen, JIN Li. Adaptive Interval Wavelet Precise Integration Method for Partial Differential Equations[J]. Applied Mathematics and Mechanics, 2005, 26(3): 333-340.

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Adaptive Interval Wavelet Precise Integration Method for Partial Differential Equations

1.
College of Information and Electrical Engineering, China Agricultural University, Beijing 100083, P. R China;
School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China;

Received Date: 2003-06-30
Rev Recd Date: 2004-11-30
Publish Date: 2005-03-15

Abstract

Abstract

The quasi-shannon interval wavelet is constructed based on the interpolation wavelet theory, and an adaptive precise integration method, which is based on extrapolation method is presented for nonlinear ODEs. And then, an adaptive interval wavelet precise integration method (AIWPIM) for nonlinear PDEs is proposed. The numerical results show that the computational precision of AIWPIM is higher than that of the method constructed by combining the wavelet and the 4th Runge-Kutta method, and the computational amounts of these two methods are almost equal. For convenience, the Burgers equation is taken as an example in introducing this method, which is also valid for more general cases.
- precise integration method,
- extrapolation method,
- Burgers equation,
- interval wavelet

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References(6)

References

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