Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations

被引：2
|
作者：
Wang, Yulan [1 ]
Yu, Hao [1 ]
Tan, Fugui [2 ]
Li, Shuguang [1 ]
机构：
[1] Inner Mongolia Univ Technol, Dept Math, Hohhot 010051, Peoples R China
[2] Jining Teachers Coll, Wulanchabu 012000, Inner Mongolia, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
ADOMIAN DECOMPOSITION METHOD; BOUNDARY-VALUE-PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; REPRODUCING KERNEL; ALGORITHM; MODEL; FORM;
D O I：
10.1155/2014/735831
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use the reproducing kernel method to solve the well-known classes of Lane-Emden-type equations. These classes of equations have the form of Lane-Emden problem. Comparing the results of the reproducing kernel method with the analytical solutions by means of some typical examples, we can affirm that the reproducing kernel method is an efficient and accurate method.
引用
收藏
页数：8
相关论文
共 50 条
  • [41] Polynomial Least Squares Method for Fractional Lane-Emden Equations
    Caruntu, Bogdan
    Bota, Constantin
    Lapadat, Marioara
    Pasca, Madalina Sofia
    SYMMETRY-BASEL, 2019, 11 (04):
  • [42] A note on variation iteration method with an application on Lane-Emden equations
    Verma, Amit K.
    Kumar, Narendra
    Singh, Mandeep
    Agarwal, Ravi P.
    ENGINEERING COMPUTATIONS, 2021, 38 (10) : 3932 - 3943
  • [43] A high-order numerical algorithm for solving Lane-Emden equations with various types of boundary conditions
    Alam, Mohammad Prawesh
    Begum, Tahera
    Khan, Arshad
    COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (06):
  • [44] A novel numerical solution to lane-emden type equations using monte carlo technique
    El-Essawy, Samah H.
    Nouh, Mohamed, I
    Soliman, Ahmed A.
    Rahman, Helal I. Abdel
    Abd-Elmougod, Gamal A.
    PHYSICA SCRIPTA, 2024, 99 (01)
  • [45] ON USING THIRD AND FOURTH KINDS CHEBYSHEV OPERATIONAL MATRICES FOR SOLVING LANE-EMDEN TYPE EQUATIONS
    Doha, E. H.
    Abd-Elhameed, W. M.
    Bassuony, M. A.
    ROMANIAN JOURNAL OF PHYSICS, 2015, 60 (3-4): : 281 - 292
  • [46] Chebyshev Neural Network based model for solving Lane-Emden type equations
    Mall, Susmita
    Chakraverty, S.
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 247 : 100 - 114
  • [47] Comparison of the Adomian decomposition method and the variational iteration method for solving the Lane-Emden equations of the first and second kinds
    Wazwaz, Abdul-Majid
    Rach, Randolph
    KYBERNETES, 2011, 40 (9-10) : 1305 - 1318
  • [48] A numerical method based on Legendre wavelet and quasilinearization technique for fractional Lane-Emden type equations
    Fatih İdiz
    Gamze Tanoğlu
    Nasser Aghazadeh
    Numerical Algorithms, 2024, 95 : 181 - 206
  • [49] Solving Coupled Lane-Emden Equations by Green’s Function and Decomposition Technique
    Singh R.
    International Journal of Applied and Computational Mathematics, 2020, 6 (3)
  • [50] An effective computational technique for a class of Lane–Emden equations
    Mandeep Singh
    Amit K. Verma
    Journal of Mathematical Chemistry, 2016, 54 : 231 - 251
12345