Numerical solution of the convection diffusion equations by the second kind Chebyshev wavelets

被引：57
|
作者：
Zhou, Fengying [1 ]
Xu, Xiaoyong [1 ]
机构：
[1] E China Inst Technol, Sch Sci, Nanchang 330013, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 247卷
基金：
中国国家自然科学基金;
关键词：
The second kind Chebyshev wavelet; Convection diffusion equation; Partial differential equation; Operational matrix of integration; Collocation method; PARABOLIC PROBLEMS; SYSTEMS; SCHEME;
D O I：
10.1016/j.amc.2014.08.091
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a numerical method for solving convection diffusion equations is presented. The method is based upon the second kind Chebyshev wavelets approximation. The second kind Chebyshev wavelets operational matrix of integration is derived and utilized to transform the equation to a system of algebraic equations by combining collocation method. Numerical examples show that the proposed method has good efficiency and precision. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：353 / 367
页数：15
相关论文
共 50 条
  • [1] Numerical solution of nonlinear fractional integral differential equations by using the second kind Chebyshev wavelets
    Chen, Yiming
    Sun, Lu
    Li, Xuan
    Fu, Xiaohong
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2013, 90 (05): : 359 - 378
  • [2] The Numerical Solution of Nonlinear Fredholm-Hammerstein Integral Equations of the Second Kind Utilizing Chebyshev Wavelets
    Shamooshaky, M. M.
    Assari, P.
    Adibi, H.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 10 (04): : 235 - 246
  • [3] An efficient method based on the second kind Chebyshev wavelets for solving variable-order fractional convection diffusion equations
    Yi, Mingxu
    Ma, Yunpeng
    Wang, Lifeng
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 95 (10) : 1973 - 1991
  • [4] Numerical solution of multi-dimensional It? Volterra integral equations by the second kind Chebyshev wavelets and parallel computing process
    Ahmadinia, M.
    Afshariarjmand, H.
    Salehi, M.
    APPLIED MATHEMATICS AND COMPUTATION, 2023, 450
  • [5] Numerical study of stochastic Volterra-Fredholm integral equations by using second kind Chebyshev wavelets
    Mohammadi, Fakhrodin
    Adhami, Parastoo
    RANDOM OPERATORS AND STOCHASTIC EQUATIONS, 2016, 24 (02) : 129 - 141
  • [6] Numerical Simulation of Coupled Fractional Differential-Integral Equations Utilizing the Second Kind Chebyshev Wavelets
    Shi, Wei
    Xie, Jiaquan
    Wang, Tao
    Zhang, Yanjie
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
  • [7] Numerical Simulation of Coupled Fractional Differential-Integral Equations Utilizing the Second Kind Chebyshev Wavelets
    Shi, Wei
    Xie, Jiaquan
    Wang, Tao
    Zhang, Yanjie
    Mathematical Problems in Engineering, 2022, 2022
  • [8] Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials
    Maleknejad, K.
    Sohrabi, S.
    Rostami, Y.
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) : 123 - 128
  • [9] Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
    Babolian, E.
    Shahsavaran, A.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 225 (01) : 87 - 95
  • [10] The third kind Chebyshev wavelets collocation method for solving the time-fractional convection diffusion equations with variable coefficients
    Zhou, Fengying
    Xu, Xiaoyong
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 280 : 11 - 29
12345