Numerical solution of a system of fourth order boundary value problems using variational iteration method

Applied Mathematics and Computation

Volumn 200, Issue 1, 2008, Pages 231-241

  Geng, Fazhan ^a   Lin, Yingzhen ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Fourth order boundary value problems; System; Variational iteration method

Indexed keywords

ITERATIVE METHODS; NUMERICAL METHODS; POLYNOMIALS; PROBLEM SOLVING; VARIATIONAL TECHNIQUES;

FOURTH ORDER BOUNDARY VALUE PROBLEMS; VARIATIONAL ITERATION METHOD;

BOUNDARY VALUE PROBLEMS;

EID: 43049153115     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.11.003     Document Type: Article

References (14)

1. Khan A., Noor M.A., and Aziz T. Parametric quintic-spline approach to the solution of a system of fourth-order boundary-value problems. Journal of Optimization Theory and Application 122 2 (2004) 309-322
2. Al-Said E.A., and Noor M.A. Computational methods for fourth-order obstacle boundary-value problems. Communications in Applied Nonlinear Analysis 2 (1995) 73-83
3. Siddiqi S.S., and Akram G. Numerical solution of a system of fourth order boundary value problems using cubic non-polynomial spline method. Applied Mathematics and Computation 190 (2007) 652-661
4. Siddiqi S.S., and Akram G. Solution of the system of fourth order boundary value problems using non polynomial spline technique. Applied Mathematics and Computation 185 (2007) 128-135
5. He J.H. Variational iteration method-a kind of non-linear analytical technique:some examples. International Journal of Non-linear Mechanics 34 (1999) 699-708
6. He J.H. Variational iteration method for autonomous ordinary differential system. Applied Mathematics and Computation 114 (2000) 115-123
7. He J.H. Some asymptotic methods for strongly nonlinear equations. International Journal of Modern Physics B 20 (2006) 1141-1199
8. He J.H., and Wu X.H. Construction of solitary solution and compaction-like solution by variational iteration method. Chaos, Solitons and Fractals 29 (2006) 108-113
9. Lu J.F. Variational iteration method for solving two-point boundary value problems. Journal of Computational and Applied Mathematics 207 (2007) 92-95
10. Xu L. The variational iteration method for fourth order boundary value problems. Chaos, Solitons and Fractals (2007) 10.1016/j.chaos.2007.06.013
11. Assas L.M.B. Variational iteration method for solving coupled-kdv equations. Chaos, Solitons and Fractals (2007) 10.1016/j.chaos.2007.02.012
12. Soliman A.A., and Abdou M.A. Numerical solution of nonlinear evolution equations using variational iteration method. Journal of Computational and Applied Mathematics 207 (2007) 111-120
13. M.R. Scott, H.A. Watts, SUPORT-A computer code for two-point boundary-value problems via orthonormalization, SAND75-0198, Sandia Laboratories, Albuquerque, NM, 1975.
14. Scott M.R., and Watts H.A. Computational solution of linear two-point boundary value problems via orthonormalization. SIAM Journal on Numerical Analysis 14 (1977) 40-70