The Legendre wavelet method for solving the steady flow of a third-grade fluid in a porous half space

被引:0
|
作者
Shekarpaz S. [1 ]
Parand K. [2 ,3 ]
Azari H. [1 ]
机构
[1] Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, General Campus, Evin, Tehran
[2] Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin, Tehran
[3] Department of Cognitive Modeling, Institute for Cognitive and Brain Sciences, Shahid Behehsti University, Tehran
关键词
Legendre wavelet; Porous half space; Third-grade fluid; Wavelet analysis;
D O I
10.1007/s40324-019-00188-9
中图分类号
学科分类号
摘要
In this study, based on the Legendre wavelet method, we will present a new efficient method to obtain the numerical solutions of a nonlinear ordinary differential equation arising in fluid dynamics. The Legendre wavelet collocation method (LWCM) will be used and problem is converted into a system of algebraic equations, where the solutions of obtained system are computed by using the Newton’s method. Finally some numerical examples are given to check the accuracy of proposed method and a comparison is made with the other methods which reflects the efficiency and capability of method. © 2019, Sociedad Española de Matemática Aplicada.
引用
收藏
页码:495 / 503
页数:8
相关论文
共 50 条
  • [1] A New Method for Solving Steady Flow of a Third-Grade Fluid in a Porous Half Space Based on Radial Basis Functions
    Kazem, Saeed
    Rad, Jamal Amani
    Parand, Kourosh
    Abbasbandy, Saied
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2011, 66 (10-11): : 591 - 598
  • [2] Rational and Exponential Legendre Tau Method on Steady Flow of a Third Grade Fluid in a Porous Half Space
    Baharifard F.
    Kazem S.
    Parand K.
    International Journal of Applied and Computational Mathematics, 2016, 2 (4) : 679 - 698
  • [3] Solving Steady Flow of a Third-Grade Fluid in a Porous Half Space via Normal and Modified Rational Christov Functions Collocation Method
    Parand, Kourosh
    Hajizadeh, Emran
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2014, 69 (3-4): : 188 - 194
  • [4] Computational methods for solving the steady flow of a third grade fluid in a porous half space
    Saadatmandi, Abbas
    Sanatkar, Zeinab
    Toufighi, Seyed Pendar
    APPLIED MATHEMATICS AND COMPUTATION, 2017, 298 : 133 - 140
  • [5] Analytical solution for the steady flow of the third grade fluid in a porous half space
    Hayat, T.
    Shahzad, F.
    Ayub, M.
    APPLIED MATHEMATICAL MODELLING, 2007, 31 (11) : 2424 - 2432
  • [6] A simple analytical solution for the steady flow of a third grade fluid in a porous half space
    Ahmad, Faiz
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (07) : 2848 - 2852
  • [7] Exact flow of a third-grade fluid on a porous wall
    Hayat, T
    Kara, AH
    Momoniat, E
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2003, 38 (10) : 1533 - 1537
  • [8] Unsteady solutions in a third-grade fluid filling the porous space
    Hayat, T.
    Mambili-Mamboundou, H.
    Mahomed, F. M.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2008, 2008
  • [9] Numerical treatment for nonlinear steady flow of a third grade fluid in a porous half space by neural networks optimized
    Alipour, Mohsen
    Karimi, Kobra
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2018, 6 (01): : 53 - 62
  • [10] Steady MHD flow of a third grade fluid in a rotating frame and porous space
    Abelman, S.
    Momoniat, E.
    Hayat, T.
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (06) : 3322 - 3328