A spline collocation approach for the numerical solution of a generalized nonlinear Klein-Gordon equation

Applied Mathematics and Computation

Volumn 216, Issue 4, 2010, Pages 1047-1056

  Khuri, S A ^a   Sayfy, A ^a  

^a AMERICAN UNIVERSITY OF SHARJAH   (United Arab Emirates)

Author keywords

B spline; Collocation method; Klein Gordon equation

Indexed keywords

ANALYTIC SOLUTION; B-SPLINE COLLOCATION METHOD; CUBIC B-SPLINES; FINITE ELEMENT COLLOCATION; KLEIN-GORDON EQUATION; NONLINEAR KLEIN-GORDON EQUATION; NUMERICAL RESULTS; NUMERICAL SOLUTION; SINE-GORDON EQUATION; SPLINE COLLOCATION; TIME LEVEL;

NUMERICAL ANALYSIS; PROBLEM SOLVING; SHIP PROPELLERS; SPLINES;

NONLINEAR EQUATIONS;

EID: 77949913381     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.01.122     Document Type: Article

References (11)

1. Bahadir A.R. Application of cubic B-spline finite element technique to the thermistor problem. Applied mathematics and Computation 149 (2004) 379-387
2. Caglar H.N., Caglar S.H., and Twizell E.H. The numerical solution of third-order boundary value problems with fourth-degree B-spline functions. International Journal of Computational Mathematics 71 (1999) 373-381
3. Caglar H.N., Caglar S.H., and Twizell E.H. The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions. Applied Mathematics and Letters 12 (1999) 25-30
4. Chowdhury M.S.H., and Hashim I. Application of homotopy-perturbation method to Klein-Gordon and sine-Gordon equations. Chaos, Solitons and Fractals 39 4 (2009) 1928-1935
5. Deeba E., and Khuri S.A. Nonlinear Equations, Wiley Encyclopedia of Electrical and Electronics Engineering vol. 14 (1999), John Wiley & Sons, New York pp. 562-570
6. Deeba E., and Khuri S.A. A decomposition method for solving the nonlinear Klein-Gordon equation. Journal of Computational Physics 124 (1996) 442-448
7. Dehghan M., and Shokri A. Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions. Journal of Computational and Applied Mathematics 230 (2009) 400-410
8. Wei-Ming, and Guo B.-Y. Fourier collocation method for solving nonlinear Klein-Gordon equation. Journal of Computational Physics 108 (1993) 296-305
9. Strauss W., and Vazquez L. Numerical solutions of a nonlinear Klein-Gordon equation. Journal of Computational Physics 28 (1978) 271-278
10. Wong Y.S., Chang Q., and Gong L. An initial-boundary value problem of a nonlinear Klein-Gordon equation. Applied Mathematics and Computation 84 (1997) 77-93
11. Yücel U. Homotopy analysis method for the sine-Gordon equation with initial conditions. Applied Mathematics and Computation 203 1 (2008) 387-395