Solving diffusion equation using wavelet method

被引：18
|
作者：
Chen, Xuefeng [2 ]
Xiang, Jiawei [1 ]
机构：
[1] Guilin Univ Elect Technol, Sch Mech & Elect Engn, Guilin 541004, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Mech Engn, Xian 710049, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 13期
基金：
中国国家自然科学基金;
关键词：
Diffusion equation; Wavelets; Hermite cubic splines; Lifting scheme; Wavelet numerical method; HERMITE CUBIC-SPLINES; NUMERICAL-SOLUTION; INTERVAL; ELEMENT; ORDER; BASES;
D O I：
10.1016/j.amc.2011.01.042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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. (C) 2011 Elsevier Inc. All rights reserved.
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页码：6426 / 6432
页数：7
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