Solving diffusion equation using wavelet method

Xuefeng Chen; Jiawei Xiang

doi:10.1016/j.amc.2011.01.042

Solving diffusion equation using wavelet method

Xuefeng Chen
, Jiawei Xiang

机械工程学院

Guilin University of Electronic Technology

科研成果: 期刊稿件 › 文章 › 同行评审

19 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	6426-6432
页数	7
期刊	Applied Mathematics and Computation
卷	217
期	13
DOI	https://doi.org/10.1016/j.amc.2011.01.042
出版状态	已出版 - 1 3月 2011

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10.1016/j.amc.2011.01.042

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引用此

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title = "Solving diffusion equation using wavelet method",

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.",

keywords = "Diffusion equation, Hermite cubic splines, Lifting scheme, Wavelet numerical method, Wavelets",

author = "Xuefeng Chen and Jiawei Xiang",

year = "2011",

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doi = "10.1016/j.amc.2011.01.042",

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T1 - Solving diffusion equation using wavelet method

AU - Chen, Xuefeng

AU - Xiang, Jiawei

PY - 2011/3/1

Y1 - 2011/3/1

N2 - 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.

AB - 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.

KW - Diffusion equation

KW - Hermite cubic splines

KW - Lifting scheme

KW - Wavelet numerical method

KW - Wavelets

UR - https://www.scopus.com/pages/publications/79952005711

U2 - 10.1016/j.amc.2011.01.042

DO - 10.1016/j.amc.2011.01.042

M3 - 文章

AN - SCOPUS:79952005711

SN - 0096-3003

VL - 217

SP - 6426

EP - 6432

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 13

ER -

Solving diffusion equation using wavelet method

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