A New Approach to Numerical Solution of Nonlinear Klein-Gordon Equation

被引：25
|
作者：
Bulbul, Berna [1 ]
Sezer, Mehmet [2 ]
机构：
[1] Mugla Univ, Fac Sci, Dept Math, TR-48000 Mugla, Turkey
[2] Celal Bayar Univ, Fac Sci, Dept Math, TR-45000 Manisa, Turkey
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2013年 / 2013卷
关键词：
SOLITON PERTURBATION-THEORY; PERIODIC-SOLUTIONS; DIFFERENCE;
D O I：
10.1155/2013/869749
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A numerical method based on collocation points is developed to solve the nonlinear Klein-Gordon equations by using the Taylor matrix method. The method is applied to some test examples and the numerical results are compared with the exact solutions. The results reveal that the method is very effective, simple, and convenient. In addition, an error estimation of proposed method is presented.
引用
收藏
页数：7
相关论文
共 50 条
  • [1] Numerical solution of the nonlinear Klein-Gordon equation
    Rashidinia, J.
    Ghasemi, M.
    Jalilian, R.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (08) : 1866 - 1878
  • [2] Tension spline approach for the numerical solution of nonlinear Klein-Gordon equation
    Rashidinia, J.
    Mohammadi, R.
    [J]. COMPUTER PHYSICS COMMUNICATIONS, 2010, 181 (01) : 78 - 91
  • [3] On the Numerical Solution of the Klein-Gordon Equation
    Bratsos, A. G.
    [J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (04) : 939 - 951
  • [4] A spline collocation approach for the numerical solution of a generalized nonlinear Klein-Gordon equation
    Khuri, S. A.
    Sayfy, A.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (04) : 1047 - 1056
  • [5] A new approach for the numerical solution for nonlinear Klein–Gordon equation
    Kumbinarasaiah S.
    [J]. SeMA Journal, 2020, 77 (4) : 435 - 456
  • [6] THE MESHLESS METHODS FOR NUMERICAL SOLUTION OF THE NONLINEAR KLEIN-GORDON EQUATION
    Rashidinia, J.
    Karmipour, Y.
    Nikan, O.
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2021, 11 (02): : 436 - 447
  • [7] EXACT SOLUTION TO A NONLINEAR KLEIN-GORDON EQUATION
    BURT, PB
    REID, JL
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1976, 55 (01) : 43 - 45
  • [8] Operational Solution to the Nonlinear Klein-Gordon Equation
    Bengochea, G.
    Verde-Star, L.
    Ortigueira, M.
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2018, 69 (05) : 506 - 512
  • [9] Numerical Solution of A Linear Klein-Gordon Equation
    Kasron, Noraini
    Nasir, Mohd Agos Salim
    Yasiran, Siti Salmah
    Othman, Khairil Iskandar
    [J]. 2013 INTERNATIONAL CONFERENCE ON ELECTRICAL, ELECTRONICS AND SYSTEM ENGINEERING (ICEESE), 2013, : 74 - 78
  • [10] Operational Solution to the Nonlinear Klein-Gordon Equation
    G.Bengochea
    L.Verde-Star
    M.Ortigueira
    [J]. Communications in Theoretical Physics, 2018, 69 (05) : 506 - 512
12345