Variational iteration technique for solving higher order boundary value problems

Applied Mathematics and Computation

Volumn 189, Issue 2, 2007, Pages 1929-1942

  Aslam Noor, Muhammad ^a   Mohyud Din, Syed Tauseef ^a  

^a Department of Electrical Computer Engineering   (Pakistan)

Author keywords

Approximate solution; Boundary value problems; Nonlinear problems; System of integral equations; Variational iteration

Indexed keywords

INTEGRAL EQUATIONS; ITERATIVE METHODS; PROBLEM SOLVING; VARIATIONAL TECHNIQUES;

APPROXIMATE SOLUTION; NONLINEAR PROBLEMS; VARIATIONAL ITERATION;

BOUNDARY VALUE PROBLEMS;

EID: 34249046099     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.12.071     Document Type: Article

References (17)

1. Agarwal R.P. Boundary-value Problems for Higher Order Differential Equations (1986), World Scientific, Singapore
2. Caglar H.N., Caglar S.H., and Twizell E.E. The numerical solution of fifth order boundary-value problems with sixth degree B-spline functions. Appl. Math. Lett. 12 (1999) 25-30
3. Chawla M.M., and Katti C.P. Finite difference methods for two-point boundary-value problems involving higher order differential equations. BIT 19 (1979) 27-33
4. Davies A.R., Karageoghis A., and Philips T.N. Spectral Galerkin methods for the primary two-point boundary-value problems in modeling viscoelastic flows. Int. J. Numer. Methods Eng. 26 (1988) 647-662
5. Doedel E. Finite difference methods for nonlinear two-point boundary-value problem. SIAM J. Numer. Anal. 16 (1979) 173-185
6. Fyfe D.J. Linear dependence relations connecting equal interval nth degree splines and their derivatives. J. Inst. Math. Appl. 7 (1971) 398-406
7. He J.H. Variational iteration method - a kind of nonlinear analytical technique: some examples. Int. J. Nonlinear Mech. 34 (1999) 699-708
8. He J.H. Variational method for autonomous ordinary differential equations. Appl. Math. Comput. 114 (2000) 115-123
9. He J.H. Variational theory for linear magneto-electro-elasticity. Int. J. Nonlinear Sci. Numer. Simul. 2 4 (2001) 309-316
10. He J.H. Variational principle for some nonlinear partial differential equations with variable coefficients. Chaos Solitons Fract. 19 4 (2004) 847-851
11. Inokuti M., Sekine H., and Mura T. General use of the Lagrange multiplier in nonlinear mathematical physics. Variational Method in the Mech. of Solids (1978), Pergamon Press, New York 156-162
12. Karageoghis A., Philips T.N., and Davies A.R. Spectral collocation methods for the primary two-point boundary-value problems in modeling viscoelastic flows. Int. J. Numer. Methods Eng. 26 (1998) 805-813
13. M. Aslam Noor, Some algorithms for solving boundary value problems, Preprint, 2006.
14. Moyud-Din S.T., and Aslam Noor M. Homotopy perturbation method for solving fourth order boundary value problems. Math. Problems Eng. 2007 (2007) 1-15 Article ID 98602
15. Aslam Noor M., and Mohyud-Din S.T. An efficient algorithm for solving fifth order boundary value problems. Math. Comput. Model. 45 (2007) 954-964
16. M. Scott, Special problems, private communication, 2006.
17. Wazwaz A.M. The numerical solution of fifth-order boundary-value problems by Adomian decomposition method. J. Comput. Appl. Math. 136 (2001) 259-270