An improved spectral homotopy analysis method for solving boundary layer problems

被引：11
|
作者：
Motsa, Sandile Sydney [2 ]
Marewo, Gerald T. [2 ]
Sibanda, Precious [3 ]
Shateyi, Stanford [1 ]
机构：
[1] Univ Venda, Dept Math, ZA-0950 Thohoyandou, South Africa
[2] Univ Swaziland, Dept Math, Kwaluseni, Swaziland
[3] Univ KwaZulu Natal, Sch Math Sci, ZA-3209 Pietermaritzburg, South Africa
来源：
BOUNDARY VALUE PROBLEMS | 2011年
基金：
新加坡国家研究基金会;
关键词：
Falkner-Skan flow; MHD flow; improved spectral-homotopy analysis method; CONSTANT WALL TEMPERATURE; FALKNER-SKAN EQUATION; NUMERICAL-SOLUTION; BLASIUS EQUATION; HEAT-TRANSFER; WEDGE FLOW;
D O I：
10.1186/1687-2770-2011-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article presents an improved spectral-homotopy analysis method (ISHAM) for solving nonlinear differential equations. The implementation of this new technique is shown by solving the Falkner-Skan and magnetohydrodynamic boundary layer problems. The results obtained are compared to numerical solutions in the literature and MATLAB's bvp4c solver. The results show that the ISHAM converges faster and gives accurate results.
引用
收藏
页数：9
相关论文
共 50 条
  • [1] An improved spectral homotopy analysis method for solving boundary layer problems
    Sandile Sydney Motsa
    Gerald T Marewo
    Precious Sibanda
    Stanford Shateyi
    Boundary Value Problems, 2011
  • [2] Solving Nonlinear Boundary Value Problems using the Homotopy Analysis Method
    Hajji, Mohamed A.
    Allan, Fathi M.
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 1829 - 1832
  • [3] Spectral Relaxation Method and Spectral Quasilinearization Method for Solving Unsteady Boundary Layer Flow Problems
    Motsa, S. S.
    Dlamini, P. G.
    Khumalo, M.
    ADVANCES IN MATHEMATICAL PHYSICS, 2014, 2014
  • [4] Homotopy perturbation method for solving boundary value problems
    He, JH
    PHYSICS LETTERS A, 2006, 350 (1-2) : 87 - 88
  • [5] Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method
    Zuhra, S.
    Islam, S.
    Idrees, M.
    Nawaz, Rashid
    Shah, I. A.
    Ullah, H.
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 2014
  • [6] Spectral homotopy analysis method and its convergence for solving a class of nonlinear optimal control problems
    Nik, H. Saberi
    Effati, S.
    Motsa, S. S.
    Shirazian, M.
    NUMERICAL ALGORITHMS, 2014, 65 (01) : 171 - 194
  • [7] Spectral homotopy analysis method and its convergence for solving a class of nonlinear optimal control problems
    H. Saberi Nik
    S. Effati
    S. S. Motsa
    M. Shirazian
    Numerical Algorithms, 2014, 65 : 171 - 194
  • [8] The Homotopy Analysis Method for Solving Higher Dimensional Initial Boundary Value Problems of Variable Coefficients
    Jafari, H.
    Saeidy, M.
    Firoozjaee, M. A.
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (05) : 1021 - 1032
  • [9] On an Interpolation Based Spectral Homotopy Analysis Method for PDE Based Unsteady Boundary Layer Flows
    Motsa, S. S.
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [10] A boundary perturbation interior point homotopy method for solving fixed point problems
    Su, Menglong
    Yu, Bo
    Shi, Shaoyun
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 377 (02) : 683 - 694
12345