Solving diffusion equation using wavelet method |
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| Authors: | Xuefeng ChenJiawei Xiang |
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| Affiliation: | a School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, PR China
b School of Mechanical and Electrical Engineering, Guilin University of Electronic Technology, Guilin 541004, PR China |
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| Abstract: | A wavelet-based numerical method based on wavelets of Hermite cubic splines is presented for computing singularly perturbed convection-dominated diffusion equation. The advantages of the method are explained. To improve the accuracy of singular areas, wavelets are configured hierarchically for solving algebraic equations. Numerical examples show that the proposed method has good efficiency and precision. |
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| Keywords: | Diffusion equation Wavelets Hermite cubic splines Lifting scheme Wavelet numerical method |
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