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.
引用
收藏
页码：6426 / 6432
页数：7
相关论文
共 50 条
  • [41] An efficient method for solving diffusion equations
    S. D. Algazin
    Journal of Engineering Physics and Thermophysics, 1997, 70 (2) : 315 - 318
  • [42] A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach
    Yang, Xiao-Jun
    Tenreiro Machado, J. A.
    Srivastava, H. M.
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 274 : 143 - 151
  • [43] On the Solution of Burgers-Huxley and Huxley Equation Using Wavelet Collocation Method
    Ray, S. Saha
    Gupta, A. K.
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2013, 91 (06): : 409 - 424
  • [44] Solving partial fractional differential equations by using the Laguerre wavelet-Adomian method
    Aghazadeh, Nasser
    Mohammadi, Amir
    Ahmadnezhad, Ghader
    Rezapour, Shahram
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [45] Wavelet operational matrix method for solving fractional differential equations with variable coefficients
    Yi, Mingxu
    Huang, Jun
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 230 : 383 - 394
  • [46] Haar Wavelet Operational Matrix Method for Solving Fractional Partial Differential Equations
    Yi, Mingxu
    Chen, Yiming
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2012, 88 (03): : 229 - 243
  • [47] Solving Nonlinear Boundary Value Problems Using the Higher Order Haar Wavelet Method
    Ratas, Mart
    Majak, Juri
    Salupere, Andrus
    MATHEMATICS, 2021, 9 (21)
  • [48] Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation
    Zahra, W. K.
    Nasr, M. A.
    Van Daele, M.
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 358 : 468 - 490
  • [49] Wavelet method for solving integral equations of simple liquids
    Fedorov, MV
    Chuev, GN
    JOURNAL OF MOLECULAR LIQUIDS, 2005, 120 (1-3) : 159 - 162
  • [50] A Novel Method for Solving the Cauchy Problem of Laplace Equation Using the Fictitious Time Integration Method
    Chi, Chih-Chang
    Yeih, Weichung
    Liu, Chein-Shan
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2009, 47 (02): : 167 - 190
12345