Application of Optimal Homotopy Asymptotic Method with Daftardar-Jafari Polynomials to Couple System of Boussinesq Equations

被引:0
|
作者
Hussain Z. [1 ]
Nawaz R. [1 ]
Ayaz M. [1 ]
Ahmad H. [2 ]
机构
[1] Department of Mathematics, Abdul Wali Khan University, Khyber Pakhtunkhwa, Mardan
[2] Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II 39, Roma
关键词
Adomian Decomposition Method; Boussinesqequation; Daftardar-Jafary Method; Optimal Homotpy;
D O I
10.1007/s40819-021-01221-0
中图分类号
学科分类号
摘要
The solitary wave results of many Boussinesq systems of equations are gained by using the Optimal Homotopy Asymptotic method with Daftardar-Jafari Polynomials. The results were intended in the form of a convergent power series with simply predictable components. The convergence of the method is well-known numerically for the system with several initial values. The current procedure completes particularly well in relations of exactness a perseverance. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.
引用
收藏
相关论文
共 50 条
  • [21] Application of Galerkin Optimal Homotopy Asymptotic Method to Shock Wave Equation
    Azimi, Mohammadreza
    Mozaffari, Ahmad
    Ommi, Fathollah
    JOURNAL OF ADVANCED PHYSICS, 2014, 3 (01) : 35 - 38
  • [22] Application of the optimal homotopy asymptotic method to nonlinear Bingham fluid dampers
    Marinca, Vasile
    Ene, Remus-Daniel
    Bereteu, Liviu
    OPEN PHYSICS, 2017, 15 (01): : 620 - 626
  • [23] Application of Optimal Homotopy Asymptotic Method for the Approximate Solution of Riccati Equation
    Mabood, Fazle
    Ismail, Ahmad Izani Bin Md
    Hashim, Ishak
    SAINS MALAYSIANA, 2013, 42 (06): : 863 - 867
  • [24] Solutions Exact to Fredholm Fuzzy Integral Equations with Optimal Homotopy Asymptotic Method
    Kashefi, Hadi
    Ghorbani, Maryam
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 8 (02): : 153 - U92
  • [25] Numerical Solution of Fredholm-Hammerstein Integral Equations by Using Optimal Homotopy Asymptotic Method and Homotopy Perturbation Method
    Almousa, Mohammad
    Ismail, Ahmad Izani
    PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): GERMINATION OF MATHEMATICAL SCIENCES EDUCATION AND RESEARCH TOWARDS GLOBAL SUSTAINABILITY, 2014, 1605 : 90 - 95
  • [26] Optimal Homotopy Asymptotic Method for Solving the Linear Fredholm Integral Equations of the First Kind
    Almousa, Mohammad
    Ismail, Ahmad
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [27] Optimal homotopy asymptotic method for solving nonlinear Fredholm integral equations of second kind
    Hashmi, M. S.
    Khan, N.
    Iqbal, S.
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (22) : 10982 - 10989
  • [28] Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method
    Younas, H. M.
    Mustahsan, Muhammad
    Manzoor, Tareq
    Salamat, Nadeem
    Iqbal, S.
    MATHEMATICS, 2019, 7 (03):
  • [29] Modifications of the Multistep Optimal Homotopy Asymptotic Method to some Nonlinear KdV-Equations
    Fizza, M.
    Ullah, H.
    Islam, S.
    Shah, Q.
    Chohan, F.
    Mamat, M.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, 11 (02): : 537 - 552
  • [30] An extension of the optimal homotopy asymptotic method with applications to nonlinear coupled partial differential equations
    Fiza, Mehreen
    Chohan, Farkhanda
    Ullah, Hakeem
    Islam, Saeed
    Bushnaq, Samia
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2019, 19 (04): : 218 - 229