In this paper, a new meshless method — Daubechies (DB) wavelet method is proposed. Using DB wavelet scaling functions and wavelet functions as basis functions to approximate the unknown field functions, there is no need to construct the shape functions costly as done in FEM and other meshless methods. In addition, the property of DB wavelet is used to make the method concise in formulations, flexible in applications and easy to realize. Numerical examples illustrate that this method is very efficient and stable and it is promising to solve complicated problems.
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